How to increase spacing between two rows in a large matrix? [duplicate]












1
















This question already has an answer here:




  • Column and row padding in tables

    9 answers




Currently, here is what I have:



documentclass[11pt]{amsart}
usepackage{amssymb,latexsym,amsmath,amsthm,enumitem,hyperref}
usepackage{graphics,graphicx,multicol,tikz,pgfplots,tkz-
euclide,relsize,framed}
usetikzlibrary{calc}
tikzset{fontscale/.style = {font=relsize{#1}}}

setlength{topmargin}{-0.750in}
setlength{textheight}{9.5in}
setlength{textwidth}{6.5in}
setlength{oddsidemargin}{0in}
setlength{evensidemargin}{0in}
allowdisplaybreaks
renewcommand{labelenumi}{(alph{enumi})}
renewcommand{labelenumii}{roman{enumii}.}
setlengtharraycolsep{2pt}


begin{document}



[G_{10} =
begin{bmatrix}
0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} & -frac{7}{20} & -
frac{11}{25} & -frac{53}{100} & -frac{31}{50} & -frac{71}{100} & -
frac{4}{5} \
frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} & -
frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} & -
frac{3}{5} \
frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} & -
frac{3}{25} & -frac{19}{100} & -frac{13}{50} & -frac{33}{100} & -
frac{2}{5} \
frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
frac{1}{5} \
frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} & -frac{1}
{5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100} &
frac{2}{5} \
frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50} &
frac{3}{5} \
frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} & 0 &
frac{4}{5} \
frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 & -frac{1}
{5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
end{bmatrix}.]

end{document}


A Crowded Matrix



It's hard to read because the entries from other rows cover up some of the other entries a bit. I just want to know how to fix this. I apologize if this is a duplicate question. Thank you.










share|improve this question















marked as duplicate by Werner horizontal-alignment
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Mar 19 at 19:07


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.



















  • Welcome to TeX - LaTeX!

    – Andrew Swann
    Mar 19 at 16:38











  • I've submitted an edit to your question to add an image of your crowded matrix (and a missing end{document}) See also this question about using [ and ] instead of $$ for displayed math.

    – JasonV
    Mar 19 at 16:52
















1
















This question already has an answer here:




  • Column and row padding in tables

    9 answers




Currently, here is what I have:



documentclass[11pt]{amsart}
usepackage{amssymb,latexsym,amsmath,amsthm,enumitem,hyperref}
usepackage{graphics,graphicx,multicol,tikz,pgfplots,tkz-
euclide,relsize,framed}
usetikzlibrary{calc}
tikzset{fontscale/.style = {font=relsize{#1}}}

setlength{topmargin}{-0.750in}
setlength{textheight}{9.5in}
setlength{textwidth}{6.5in}
setlength{oddsidemargin}{0in}
setlength{evensidemargin}{0in}
allowdisplaybreaks
renewcommand{labelenumi}{(alph{enumi})}
renewcommand{labelenumii}{roman{enumii}.}
setlengtharraycolsep{2pt}


begin{document}



[G_{10} =
begin{bmatrix}
0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} & -frac{7}{20} & -
frac{11}{25} & -frac{53}{100} & -frac{31}{50} & -frac{71}{100} & -
frac{4}{5} \
frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} & -
frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} & -
frac{3}{5} \
frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} & -
frac{3}{25} & -frac{19}{100} & -frac{13}{50} & -frac{33}{100} & -
frac{2}{5} \
frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
frac{1}{5} \
frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} & -frac{1}
{5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100} &
frac{2}{5} \
frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50} &
frac{3}{5} \
frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} & 0 &
frac{4}{5} \
frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 & -frac{1}
{5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
end{bmatrix}.]

end{document}


A Crowded Matrix



It's hard to read because the entries from other rows cover up some of the other entries a bit. I just want to know how to fix this. I apologize if this is a duplicate question. Thank you.










share|improve this question















marked as duplicate by Werner horizontal-alignment
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Mar 19 at 19:07


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.



















  • Welcome to TeX - LaTeX!

    – Andrew Swann
    Mar 19 at 16:38











  • I've submitted an edit to your question to add an image of your crowded matrix (and a missing end{document}) See also this question about using [ and ] instead of $$ for displayed math.

    – JasonV
    Mar 19 at 16:52














1












1








1









This question already has an answer here:




  • Column and row padding in tables

    9 answers




Currently, here is what I have:



documentclass[11pt]{amsart}
usepackage{amssymb,latexsym,amsmath,amsthm,enumitem,hyperref}
usepackage{graphics,graphicx,multicol,tikz,pgfplots,tkz-
euclide,relsize,framed}
usetikzlibrary{calc}
tikzset{fontscale/.style = {font=relsize{#1}}}

setlength{topmargin}{-0.750in}
setlength{textheight}{9.5in}
setlength{textwidth}{6.5in}
setlength{oddsidemargin}{0in}
setlength{evensidemargin}{0in}
allowdisplaybreaks
renewcommand{labelenumi}{(alph{enumi})}
renewcommand{labelenumii}{roman{enumii}.}
setlengtharraycolsep{2pt}


begin{document}



[G_{10} =
begin{bmatrix}
0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} & -frac{7}{20} & -
frac{11}{25} & -frac{53}{100} & -frac{31}{50} & -frac{71}{100} & -
frac{4}{5} \
frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} & -
frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} & -
frac{3}{5} \
frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} & -
frac{3}{25} & -frac{19}{100} & -frac{13}{50} & -frac{33}{100} & -
frac{2}{5} \
frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
frac{1}{5} \
frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} & -frac{1}
{5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100} &
frac{2}{5} \
frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50} &
frac{3}{5} \
frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} & 0 &
frac{4}{5} \
frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 & -frac{1}
{5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
end{bmatrix}.]

end{document}


A Crowded Matrix



It's hard to read because the entries from other rows cover up some of the other entries a bit. I just want to know how to fix this. I apologize if this is a duplicate question. Thank you.










share|improve this question

















This question already has an answer here:




  • Column and row padding in tables

    9 answers




Currently, here is what I have:



documentclass[11pt]{amsart}
usepackage{amssymb,latexsym,amsmath,amsthm,enumitem,hyperref}
usepackage{graphics,graphicx,multicol,tikz,pgfplots,tkz-
euclide,relsize,framed}
usetikzlibrary{calc}
tikzset{fontscale/.style = {font=relsize{#1}}}

setlength{topmargin}{-0.750in}
setlength{textheight}{9.5in}
setlength{textwidth}{6.5in}
setlength{oddsidemargin}{0in}
setlength{evensidemargin}{0in}
allowdisplaybreaks
renewcommand{labelenumi}{(alph{enumi})}
renewcommand{labelenumii}{roman{enumii}.}
setlengtharraycolsep{2pt}


begin{document}



[G_{10} =
begin{bmatrix}
0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} & -frac{7}{20} & -
frac{11}{25} & -frac{53}{100} & -frac{31}{50} & -frac{71}{100} & -
frac{4}{5} \
frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} & -
frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} & -
frac{3}{5} \
frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} & -
frac{3}{25} & -frac{19}{100} & -frac{13}{50} & -frac{33}{100} & -
frac{2}{5} \
frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
frac{1}{5} \
frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} & -frac{1}
{5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100} &
frac{2}{5} \
frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50} &
frac{3}{5} \
frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} & 0 &
frac{4}{5} \
frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 & -frac{1}
{5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
end{bmatrix}.]

end{document}


A Crowded Matrix



It's hard to read because the entries from other rows cover up some of the other entries a bit. I just want to know how to fix this. I apologize if this is a duplicate question. Thank you.





This question already has an answer here:




  • Column and row padding in tables

    9 answers








spacing horizontal-alignment matrices






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Mar 19 at 16:50









JasonV

1036




1036










asked Mar 19 at 16:22









Matthew GrahamMatthew Graham

63




63




marked as duplicate by Werner horizontal-alignment
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Mar 19 at 19:07


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.









marked as duplicate by Werner horizontal-alignment
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Mar 19 at 19:07


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.















  • Welcome to TeX - LaTeX!

    – Andrew Swann
    Mar 19 at 16:38











  • I've submitted an edit to your question to add an image of your crowded matrix (and a missing end{document}) See also this question about using [ and ] instead of $$ for displayed math.

    – JasonV
    Mar 19 at 16:52



















  • Welcome to TeX - LaTeX!

    – Andrew Swann
    Mar 19 at 16:38











  • I've submitted an edit to your question to add an image of your crowded matrix (and a missing end{document}) See also this question about using [ and ] instead of $$ for displayed math.

    – JasonV
    Mar 19 at 16:52

















Welcome to TeX - LaTeX!

– Andrew Swann
Mar 19 at 16:38





Welcome to TeX - LaTeX!

– Andrew Swann
Mar 19 at 16:38













I've submitted an edit to your question to add an image of your crowded matrix (and a missing end{document}) See also this question about using [ and ] instead of $$ for displayed math.

– JasonV
Mar 19 at 16:52





I've submitted an edit to your question to add an image of your crowded matrix (and a missing end{document}) See also this question about using [ and ] instead of $$ for displayed math.

– JasonV
Mar 19 at 16:52










2 Answers
2






active

oldest

votes


















2














You should adjust arraystretch which is a factor multiplying the row spacing.



Sample output



documentclass[11pt]{amsart}

begin{document}

begin{equation*}
renewcommand{arraystretch}{1.5}
G_{10} =
begin{bmatrix}
0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} &
-frac{7}{20} & - frac{11}{25} & -frac{53}{100} & -frac{31}{50}
& -frac{71}{100} & -
frac{4}{5} \
frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} &
- frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} &
-
frac{3}{5} \
frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} &
- frac{3}{25} & -frac{19}{100} & -frac{13}{50} &
-frac{33}{100} & -
frac{2}{5} \
frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
frac{1}{5} \
frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} &
-frac{1}
{5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100}
&
frac{2}{5} \
frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50}
&
frac{3}{5} \
frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} &
0 &
frac{4}{5} \
frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 &
-frac{1}
{5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
end{bmatrix}.
end{equation*}

end{document}


Note I have put the redefinition of the arraystretch inside the group defined by the equation, so it will not have effect outside that group. If you wish to set this spacing for the whole document you should issue the renewcommand either just after begin{document}, or perhaps in the preamble. The first option is safer, in the situation the value is change by other packages.



Please review your list of packages - several are already loaded by amsart.



Also you should not use $$, but one of the environments provided by amsmath.






share|improve this answer


























  • Thank you. I've never written a Latex document before. My professor just told us to copy and paste the stuff at the top of the document he had and go from there. I didn't know what any of it did. He said to not worry about any of that and if we had any questions to ask him or go here.

    – Matthew Graham
    Mar 19 at 16:52



















0














The simplest solution for this is the cellspace package with option [math]. You can define a minimal padding at the top and bottom od matrix cells.



In addition, as there is a great contrast in size between normal digits and fractions in matrices, I suggest to use the medium-size mfrac from nccmath. Below you can compare the result of both.



Unrelated: hyperref should be loaded as the last package, with very few exceptions. Also, needless to load graohics when you load graphicx.



documentclass[11pt]{amsart}
usepackage{amssymb, latexsym, amsmath, amsthm, enumitem}
usepackage{graphicx, multicol, tikz, pgfplots, tkz-euclide, relsize, framed}
usepackage{nccmath}
usepackage[math]{cellspace}
setlength{cellspacetoplimit}{2pt}
setlength{cellspacebottomlimit}{2pt}
usepackage{hyperref}
usetikzlibrary{calc}
tikzset{fontscale/.style = {font=relsize{#1}}}

setlength{topmargin}{-0.750in}
setlength{textheight}{9.5in}
setlength{textwidth}{6.5in}
setlength{oddsidemargin}{0in}
setlength{evensidemargin}{0in}
allowdisplaybreaks
renewcommand{labelenumi}{(alph{enumi})}
renewcommand{labelenumii}{roman{enumii}.}
setlengtharraycolsep{2pt}

begin{document}

[ G_{10} =
begin{bmatrix}
0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} & -frac{7}{20} & -
frac{11}{25} & -frac{53}{100} & -frac{31}{50} & -frac{71}{100} & -
frac{4}{5} \
frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} & -
frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} & -
frac{3}{5} \
frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} & -
frac{3}{25} & -frac{19}{100} & -frac{13}{50} & -frac{33}{100} & -
frac{2}{5} \
frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
frac{1}{5} \
frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} & -frac{1}
{5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100} &
frac{2}{5} \
frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50} &
frac{3}{5} \
frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} & 0 &
frac{4}{5} \
frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 & -frac{1}
{5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
end{bmatrix}.]bigskip

[ G_{10} =
begin{bmatrix}
0 &-mfrac{2}{25} & -mfrac{17}{100} & -mfrac{13}{50} & -mfrac{7}{20} & -
mfrac{11}{25} & -mfrac{53}{100} & -mfrac{31}{50} & -mfrac{71}{100} & -
mfrac{4}{5} \
mfrac{2}{25} & 0 & -mfrac{1}{25} & -mfrac{3}{25} & -mfrac{1}{5} & -
mfrac{7}{25} & -mfrac{9}{25} & -mfrac{11}{25} & -mfrac{13}{25} & -
mfrac{3}{5} \
mfrac{17}{100} & mfrac{1}{25} & 0 & mfrac{1}{50} & -mfrac{1}{20} & -
mfrac{3}{25} & -mfrac{19}{100} & -mfrac{13}{50} & -mfrac{33}{100} & -
mfrac{2}{5} \
mfrac{13}{50} & mfrac{3}{25} & -mfrac{1}{50} & 0 & mfrac{1}{10} &
mfrac{1}{25} & -mfrac{1}{50} & -mfrac{2}{25} & -mfrac{7}{50} & -
mfrac{1}{5} \
mfrac{7}{20} & mfrac{1}{5} & mfrac{1}{20} & -mfrac{1}{10} & 0 &
mfrac{1}{5} & mfrac{3}{20} & mfrac{1}{10} & mfrac{1}{20} & 0 \
mfrac{11}{25} & mfrac{7}{25} & mfrac{3}{25} & -mfrac{1}{25} & -mfrac{1}
{5} & 0 & mfrac{8}{25} & mfrac{7}{25} & mfrac{6}{25} & mfrac{1}{5} \
mfrac{53}{100} & mfrac{9}{25} & mfrac{19}{100} & mfrac{1}{50} & -
mfrac{3}{20} & -mfrac{8}{25} & 0 & mfrac{23}{50} & mfrac{43}{100} &
mfrac{2}{5} \
mfrac{31}{50} & mfrac{11}{25} & mfrac{13}{50} & mfrac{2}{25} & -
mfrac{1}{10} & -mfrac{7}{25} & -mfrac{23}{50} & 0 & mfrac{31}{50} &
mfrac{3}{5} \
mfrac{71}{100} & mfrac{13}{25} & mfrac{33}{100} & mfrac{7}{50} & -
mfrac{1}{20} & -mfrac{6}{25} & -mfrac{43}{100} & -mfrac{31}{50} & 0 &
mfrac{4}{5} \
mfrac{4}{5} & mfrac{3}{5} & mfrac{2}{5} & mfrac{1}{5} & 0 & -mfrac{1}
{5} & -mfrac{2}{5} & -mfrac{3}{5} & -mfrac{4}{5} & 0 \
end{bmatrix}.]

end{document}


enter image description here






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    2














    You should adjust arraystretch which is a factor multiplying the row spacing.



    Sample output



    documentclass[11pt]{amsart}

    begin{document}

    begin{equation*}
    renewcommand{arraystretch}{1.5}
    G_{10} =
    begin{bmatrix}
    0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} &
    -frac{7}{20} & - frac{11}{25} & -frac{53}{100} & -frac{31}{50}
    & -frac{71}{100} & -
    frac{4}{5} \
    frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} &
    - frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} &
    -
    frac{3}{5} \
    frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} &
    - frac{3}{25} & -frac{19}{100} & -frac{13}{50} &
    -frac{33}{100} & -
    frac{2}{5} \
    frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
    frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
    frac{1}{5} \
    frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
    frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
    frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} &
    -frac{1}
    {5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
    frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
    frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100}
    &
    frac{2}{5} \
    frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
    frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50}
    &
    frac{3}{5} \
    frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
    frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} &
    0 &
    frac{4}{5} \
    frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 &
    -frac{1}
    {5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
    end{bmatrix}.
    end{equation*}

    end{document}


    Note I have put the redefinition of the arraystretch inside the group defined by the equation, so it will not have effect outside that group. If you wish to set this spacing for the whole document you should issue the renewcommand either just after begin{document}, or perhaps in the preamble. The first option is safer, in the situation the value is change by other packages.



    Please review your list of packages - several are already loaded by amsart.



    Also you should not use $$, but one of the environments provided by amsmath.






    share|improve this answer


























    • Thank you. I've never written a Latex document before. My professor just told us to copy and paste the stuff at the top of the document he had and go from there. I didn't know what any of it did. He said to not worry about any of that and if we had any questions to ask him or go here.

      – Matthew Graham
      Mar 19 at 16:52
















    2














    You should adjust arraystretch which is a factor multiplying the row spacing.



    Sample output



    documentclass[11pt]{amsart}

    begin{document}

    begin{equation*}
    renewcommand{arraystretch}{1.5}
    G_{10} =
    begin{bmatrix}
    0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} &
    -frac{7}{20} & - frac{11}{25} & -frac{53}{100} & -frac{31}{50}
    & -frac{71}{100} & -
    frac{4}{5} \
    frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} &
    - frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} &
    -
    frac{3}{5} \
    frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} &
    - frac{3}{25} & -frac{19}{100} & -frac{13}{50} &
    -frac{33}{100} & -
    frac{2}{5} \
    frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
    frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
    frac{1}{5} \
    frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
    frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
    frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} &
    -frac{1}
    {5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
    frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
    frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100}
    &
    frac{2}{5} \
    frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
    frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50}
    &
    frac{3}{5} \
    frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
    frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} &
    0 &
    frac{4}{5} \
    frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 &
    -frac{1}
    {5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
    end{bmatrix}.
    end{equation*}

    end{document}


    Note I have put the redefinition of the arraystretch inside the group defined by the equation, so it will not have effect outside that group. If you wish to set this spacing for the whole document you should issue the renewcommand either just after begin{document}, or perhaps in the preamble. The first option is safer, in the situation the value is change by other packages.



    Please review your list of packages - several are already loaded by amsart.



    Also you should not use $$, but one of the environments provided by amsmath.






    share|improve this answer


























    • Thank you. I've never written a Latex document before. My professor just told us to copy and paste the stuff at the top of the document he had and go from there. I didn't know what any of it did. He said to not worry about any of that and if we had any questions to ask him or go here.

      – Matthew Graham
      Mar 19 at 16:52














    2












    2








    2







    You should adjust arraystretch which is a factor multiplying the row spacing.



    Sample output



    documentclass[11pt]{amsart}

    begin{document}

    begin{equation*}
    renewcommand{arraystretch}{1.5}
    G_{10} =
    begin{bmatrix}
    0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} &
    -frac{7}{20} & - frac{11}{25} & -frac{53}{100} & -frac{31}{50}
    & -frac{71}{100} & -
    frac{4}{5} \
    frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} &
    - frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} &
    -
    frac{3}{5} \
    frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} &
    - frac{3}{25} & -frac{19}{100} & -frac{13}{50} &
    -frac{33}{100} & -
    frac{2}{5} \
    frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
    frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
    frac{1}{5} \
    frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
    frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
    frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} &
    -frac{1}
    {5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
    frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
    frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100}
    &
    frac{2}{5} \
    frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
    frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50}
    &
    frac{3}{5} \
    frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
    frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} &
    0 &
    frac{4}{5} \
    frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 &
    -frac{1}
    {5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
    end{bmatrix}.
    end{equation*}

    end{document}


    Note I have put the redefinition of the arraystretch inside the group defined by the equation, so it will not have effect outside that group. If you wish to set this spacing for the whole document you should issue the renewcommand either just after begin{document}, or perhaps in the preamble. The first option is safer, in the situation the value is change by other packages.



    Please review your list of packages - several are already loaded by amsart.



    Also you should not use $$, but one of the environments provided by amsmath.






    share|improve this answer















    You should adjust arraystretch which is a factor multiplying the row spacing.



    Sample output



    documentclass[11pt]{amsart}

    begin{document}

    begin{equation*}
    renewcommand{arraystretch}{1.5}
    G_{10} =
    begin{bmatrix}
    0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} &
    -frac{7}{20} & - frac{11}{25} & -frac{53}{100} & -frac{31}{50}
    & -frac{71}{100} & -
    frac{4}{5} \
    frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} &
    - frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} &
    -
    frac{3}{5} \
    frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} &
    - frac{3}{25} & -frac{19}{100} & -frac{13}{50} &
    -frac{33}{100} & -
    frac{2}{5} \
    frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
    frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
    frac{1}{5} \
    frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
    frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
    frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} &
    -frac{1}
    {5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
    frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
    frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100}
    &
    frac{2}{5} \
    frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
    frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50}
    &
    frac{3}{5} \
    frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
    frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} &
    0 &
    frac{4}{5} \
    frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 &
    -frac{1}
    {5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
    end{bmatrix}.
    end{equation*}

    end{document}


    Note I have put the redefinition of the arraystretch inside the group defined by the equation, so it will not have effect outside that group. If you wish to set this spacing for the whole document you should issue the renewcommand either just after begin{document}, or perhaps in the preamble. The first option is safer, in the situation the value is change by other packages.



    Please review your list of packages - several are already loaded by amsart.



    Also you should not use $$, but one of the environments provided by amsmath.







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited Mar 20 at 10:43

























    answered Mar 19 at 16:41









    Andrew SwannAndrew Swann

    77.8k9130332




    77.8k9130332













    • Thank you. I've never written a Latex document before. My professor just told us to copy and paste the stuff at the top of the document he had and go from there. I didn't know what any of it did. He said to not worry about any of that and if we had any questions to ask him or go here.

      – Matthew Graham
      Mar 19 at 16:52



















    • Thank you. I've never written a Latex document before. My professor just told us to copy and paste the stuff at the top of the document he had and go from there. I didn't know what any of it did. He said to not worry about any of that and if we had any questions to ask him or go here.

      – Matthew Graham
      Mar 19 at 16:52

















    Thank you. I've never written a Latex document before. My professor just told us to copy and paste the stuff at the top of the document he had and go from there. I didn't know what any of it did. He said to not worry about any of that and if we had any questions to ask him or go here.

    – Matthew Graham
    Mar 19 at 16:52





    Thank you. I've never written a Latex document before. My professor just told us to copy and paste the stuff at the top of the document he had and go from there. I didn't know what any of it did. He said to not worry about any of that and if we had any questions to ask him or go here.

    – Matthew Graham
    Mar 19 at 16:52











    0














    The simplest solution for this is the cellspace package with option [math]. You can define a minimal padding at the top and bottom od matrix cells.



    In addition, as there is a great contrast in size between normal digits and fractions in matrices, I suggest to use the medium-size mfrac from nccmath. Below you can compare the result of both.



    Unrelated: hyperref should be loaded as the last package, with very few exceptions. Also, needless to load graohics when you load graphicx.



    documentclass[11pt]{amsart}
    usepackage{amssymb, latexsym, amsmath, amsthm, enumitem}
    usepackage{graphicx, multicol, tikz, pgfplots, tkz-euclide, relsize, framed}
    usepackage{nccmath}
    usepackage[math]{cellspace}
    setlength{cellspacetoplimit}{2pt}
    setlength{cellspacebottomlimit}{2pt}
    usepackage{hyperref}
    usetikzlibrary{calc}
    tikzset{fontscale/.style = {font=relsize{#1}}}

    setlength{topmargin}{-0.750in}
    setlength{textheight}{9.5in}
    setlength{textwidth}{6.5in}
    setlength{oddsidemargin}{0in}
    setlength{evensidemargin}{0in}
    allowdisplaybreaks
    renewcommand{labelenumi}{(alph{enumi})}
    renewcommand{labelenumii}{roman{enumii}.}
    setlengtharraycolsep{2pt}

    begin{document}

    [ G_{10} =
    begin{bmatrix}
    0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} & -frac{7}{20} & -
    frac{11}{25} & -frac{53}{100} & -frac{31}{50} & -frac{71}{100} & -
    frac{4}{5} \
    frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} & -
    frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} & -
    frac{3}{5} \
    frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} & -
    frac{3}{25} & -frac{19}{100} & -frac{13}{50} & -frac{33}{100} & -
    frac{2}{5} \
    frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
    frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
    frac{1}{5} \
    frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
    frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
    frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} & -frac{1}
    {5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
    frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
    frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100} &
    frac{2}{5} \
    frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
    frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50} &
    frac{3}{5} \
    frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
    frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} & 0 &
    frac{4}{5} \
    frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 & -frac{1}
    {5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
    end{bmatrix}.]bigskip

    [ G_{10} =
    begin{bmatrix}
    0 &-mfrac{2}{25} & -mfrac{17}{100} & -mfrac{13}{50} & -mfrac{7}{20} & -
    mfrac{11}{25} & -mfrac{53}{100} & -mfrac{31}{50} & -mfrac{71}{100} & -
    mfrac{4}{5} \
    mfrac{2}{25} & 0 & -mfrac{1}{25} & -mfrac{3}{25} & -mfrac{1}{5} & -
    mfrac{7}{25} & -mfrac{9}{25} & -mfrac{11}{25} & -mfrac{13}{25} & -
    mfrac{3}{5} \
    mfrac{17}{100} & mfrac{1}{25} & 0 & mfrac{1}{50} & -mfrac{1}{20} & -
    mfrac{3}{25} & -mfrac{19}{100} & -mfrac{13}{50} & -mfrac{33}{100} & -
    mfrac{2}{5} \
    mfrac{13}{50} & mfrac{3}{25} & -mfrac{1}{50} & 0 & mfrac{1}{10} &
    mfrac{1}{25} & -mfrac{1}{50} & -mfrac{2}{25} & -mfrac{7}{50} & -
    mfrac{1}{5} \
    mfrac{7}{20} & mfrac{1}{5} & mfrac{1}{20} & -mfrac{1}{10} & 0 &
    mfrac{1}{5} & mfrac{3}{20} & mfrac{1}{10} & mfrac{1}{20} & 0 \
    mfrac{11}{25} & mfrac{7}{25} & mfrac{3}{25} & -mfrac{1}{25} & -mfrac{1}
    {5} & 0 & mfrac{8}{25} & mfrac{7}{25} & mfrac{6}{25} & mfrac{1}{5} \
    mfrac{53}{100} & mfrac{9}{25} & mfrac{19}{100} & mfrac{1}{50} & -
    mfrac{3}{20} & -mfrac{8}{25} & 0 & mfrac{23}{50} & mfrac{43}{100} &
    mfrac{2}{5} \
    mfrac{31}{50} & mfrac{11}{25} & mfrac{13}{50} & mfrac{2}{25} & -
    mfrac{1}{10} & -mfrac{7}{25} & -mfrac{23}{50} & 0 & mfrac{31}{50} &
    mfrac{3}{5} \
    mfrac{71}{100} & mfrac{13}{25} & mfrac{33}{100} & mfrac{7}{50} & -
    mfrac{1}{20} & -mfrac{6}{25} & -mfrac{43}{100} & -mfrac{31}{50} & 0 &
    mfrac{4}{5} \
    mfrac{4}{5} & mfrac{3}{5} & mfrac{2}{5} & mfrac{1}{5} & 0 & -mfrac{1}
    {5} & -mfrac{2}{5} & -mfrac{3}{5} & -mfrac{4}{5} & 0 \
    end{bmatrix}.]

    end{document}


    enter image description here






    share|improve this answer






























      0














      The simplest solution for this is the cellspace package with option [math]. You can define a minimal padding at the top and bottom od matrix cells.



      In addition, as there is a great contrast in size between normal digits and fractions in matrices, I suggest to use the medium-size mfrac from nccmath. Below you can compare the result of both.



      Unrelated: hyperref should be loaded as the last package, with very few exceptions. Also, needless to load graohics when you load graphicx.



      documentclass[11pt]{amsart}
      usepackage{amssymb, latexsym, amsmath, amsthm, enumitem}
      usepackage{graphicx, multicol, tikz, pgfplots, tkz-euclide, relsize, framed}
      usepackage{nccmath}
      usepackage[math]{cellspace}
      setlength{cellspacetoplimit}{2pt}
      setlength{cellspacebottomlimit}{2pt}
      usepackage{hyperref}
      usetikzlibrary{calc}
      tikzset{fontscale/.style = {font=relsize{#1}}}

      setlength{topmargin}{-0.750in}
      setlength{textheight}{9.5in}
      setlength{textwidth}{6.5in}
      setlength{oddsidemargin}{0in}
      setlength{evensidemargin}{0in}
      allowdisplaybreaks
      renewcommand{labelenumi}{(alph{enumi})}
      renewcommand{labelenumii}{roman{enumii}.}
      setlengtharraycolsep{2pt}

      begin{document}

      [ G_{10} =
      begin{bmatrix}
      0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} & -frac{7}{20} & -
      frac{11}{25} & -frac{53}{100} & -frac{31}{50} & -frac{71}{100} & -
      frac{4}{5} \
      frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} & -
      frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} & -
      frac{3}{5} \
      frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} & -
      frac{3}{25} & -frac{19}{100} & -frac{13}{50} & -frac{33}{100} & -
      frac{2}{5} \
      frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
      frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
      frac{1}{5} \
      frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
      frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
      frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} & -frac{1}
      {5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
      frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
      frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100} &
      frac{2}{5} \
      frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
      frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50} &
      frac{3}{5} \
      frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
      frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} & 0 &
      frac{4}{5} \
      frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 & -frac{1}
      {5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
      end{bmatrix}.]bigskip

      [ G_{10} =
      begin{bmatrix}
      0 &-mfrac{2}{25} & -mfrac{17}{100} & -mfrac{13}{50} & -mfrac{7}{20} & -
      mfrac{11}{25} & -mfrac{53}{100} & -mfrac{31}{50} & -mfrac{71}{100} & -
      mfrac{4}{5} \
      mfrac{2}{25} & 0 & -mfrac{1}{25} & -mfrac{3}{25} & -mfrac{1}{5} & -
      mfrac{7}{25} & -mfrac{9}{25} & -mfrac{11}{25} & -mfrac{13}{25} & -
      mfrac{3}{5} \
      mfrac{17}{100} & mfrac{1}{25} & 0 & mfrac{1}{50} & -mfrac{1}{20} & -
      mfrac{3}{25} & -mfrac{19}{100} & -mfrac{13}{50} & -mfrac{33}{100} & -
      mfrac{2}{5} \
      mfrac{13}{50} & mfrac{3}{25} & -mfrac{1}{50} & 0 & mfrac{1}{10} &
      mfrac{1}{25} & -mfrac{1}{50} & -mfrac{2}{25} & -mfrac{7}{50} & -
      mfrac{1}{5} \
      mfrac{7}{20} & mfrac{1}{5} & mfrac{1}{20} & -mfrac{1}{10} & 0 &
      mfrac{1}{5} & mfrac{3}{20} & mfrac{1}{10} & mfrac{1}{20} & 0 \
      mfrac{11}{25} & mfrac{7}{25} & mfrac{3}{25} & -mfrac{1}{25} & -mfrac{1}
      {5} & 0 & mfrac{8}{25} & mfrac{7}{25} & mfrac{6}{25} & mfrac{1}{5} \
      mfrac{53}{100} & mfrac{9}{25} & mfrac{19}{100} & mfrac{1}{50} & -
      mfrac{3}{20} & -mfrac{8}{25} & 0 & mfrac{23}{50} & mfrac{43}{100} &
      mfrac{2}{5} \
      mfrac{31}{50} & mfrac{11}{25} & mfrac{13}{50} & mfrac{2}{25} & -
      mfrac{1}{10} & -mfrac{7}{25} & -mfrac{23}{50} & 0 & mfrac{31}{50} &
      mfrac{3}{5} \
      mfrac{71}{100} & mfrac{13}{25} & mfrac{33}{100} & mfrac{7}{50} & -
      mfrac{1}{20} & -mfrac{6}{25} & -mfrac{43}{100} & -mfrac{31}{50} & 0 &
      mfrac{4}{5} \
      mfrac{4}{5} & mfrac{3}{5} & mfrac{2}{5} & mfrac{1}{5} & 0 & -mfrac{1}
      {5} & -mfrac{2}{5} & -mfrac{3}{5} & -mfrac{4}{5} & 0 \
      end{bmatrix}.]

      end{document}


      enter image description here






      share|improve this answer




























        0












        0








        0







        The simplest solution for this is the cellspace package with option [math]. You can define a minimal padding at the top and bottom od matrix cells.



        In addition, as there is a great contrast in size between normal digits and fractions in matrices, I suggest to use the medium-size mfrac from nccmath. Below you can compare the result of both.



        Unrelated: hyperref should be loaded as the last package, with very few exceptions. Also, needless to load graohics when you load graphicx.



        documentclass[11pt]{amsart}
        usepackage{amssymb, latexsym, amsmath, amsthm, enumitem}
        usepackage{graphicx, multicol, tikz, pgfplots, tkz-euclide, relsize, framed}
        usepackage{nccmath}
        usepackage[math]{cellspace}
        setlength{cellspacetoplimit}{2pt}
        setlength{cellspacebottomlimit}{2pt}
        usepackage{hyperref}
        usetikzlibrary{calc}
        tikzset{fontscale/.style = {font=relsize{#1}}}

        setlength{topmargin}{-0.750in}
        setlength{textheight}{9.5in}
        setlength{textwidth}{6.5in}
        setlength{oddsidemargin}{0in}
        setlength{evensidemargin}{0in}
        allowdisplaybreaks
        renewcommand{labelenumi}{(alph{enumi})}
        renewcommand{labelenumii}{roman{enumii}.}
        setlengtharraycolsep{2pt}

        begin{document}

        [ G_{10} =
        begin{bmatrix}
        0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} & -frac{7}{20} & -
        frac{11}{25} & -frac{53}{100} & -frac{31}{50} & -frac{71}{100} & -
        frac{4}{5} \
        frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} & -
        frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} & -
        frac{3}{5} \
        frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} & -
        frac{3}{25} & -frac{19}{100} & -frac{13}{50} & -frac{33}{100} & -
        frac{2}{5} \
        frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
        frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
        frac{1}{5} \
        frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
        frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
        frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} & -frac{1}
        {5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
        frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
        frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100} &
        frac{2}{5} \
        frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
        frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50} &
        frac{3}{5} \
        frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
        frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} & 0 &
        frac{4}{5} \
        frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 & -frac{1}
        {5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
        end{bmatrix}.]bigskip

        [ G_{10} =
        begin{bmatrix}
        0 &-mfrac{2}{25} & -mfrac{17}{100} & -mfrac{13}{50} & -mfrac{7}{20} & -
        mfrac{11}{25} & -mfrac{53}{100} & -mfrac{31}{50} & -mfrac{71}{100} & -
        mfrac{4}{5} \
        mfrac{2}{25} & 0 & -mfrac{1}{25} & -mfrac{3}{25} & -mfrac{1}{5} & -
        mfrac{7}{25} & -mfrac{9}{25} & -mfrac{11}{25} & -mfrac{13}{25} & -
        mfrac{3}{5} \
        mfrac{17}{100} & mfrac{1}{25} & 0 & mfrac{1}{50} & -mfrac{1}{20} & -
        mfrac{3}{25} & -mfrac{19}{100} & -mfrac{13}{50} & -mfrac{33}{100} & -
        mfrac{2}{5} \
        mfrac{13}{50} & mfrac{3}{25} & -mfrac{1}{50} & 0 & mfrac{1}{10} &
        mfrac{1}{25} & -mfrac{1}{50} & -mfrac{2}{25} & -mfrac{7}{50} & -
        mfrac{1}{5} \
        mfrac{7}{20} & mfrac{1}{5} & mfrac{1}{20} & -mfrac{1}{10} & 0 &
        mfrac{1}{5} & mfrac{3}{20} & mfrac{1}{10} & mfrac{1}{20} & 0 \
        mfrac{11}{25} & mfrac{7}{25} & mfrac{3}{25} & -mfrac{1}{25} & -mfrac{1}
        {5} & 0 & mfrac{8}{25} & mfrac{7}{25} & mfrac{6}{25} & mfrac{1}{5} \
        mfrac{53}{100} & mfrac{9}{25} & mfrac{19}{100} & mfrac{1}{50} & -
        mfrac{3}{20} & -mfrac{8}{25} & 0 & mfrac{23}{50} & mfrac{43}{100} &
        mfrac{2}{5} \
        mfrac{31}{50} & mfrac{11}{25} & mfrac{13}{50} & mfrac{2}{25} & -
        mfrac{1}{10} & -mfrac{7}{25} & -mfrac{23}{50} & 0 & mfrac{31}{50} &
        mfrac{3}{5} \
        mfrac{71}{100} & mfrac{13}{25} & mfrac{33}{100} & mfrac{7}{50} & -
        mfrac{1}{20} & -mfrac{6}{25} & -mfrac{43}{100} & -mfrac{31}{50} & 0 &
        mfrac{4}{5} \
        mfrac{4}{5} & mfrac{3}{5} & mfrac{2}{5} & mfrac{1}{5} & 0 & -mfrac{1}
        {5} & -mfrac{2}{5} & -mfrac{3}{5} & -mfrac{4}{5} & 0 \
        end{bmatrix}.]

        end{document}


        enter image description here






        share|improve this answer















        The simplest solution for this is the cellspace package with option [math]. You can define a minimal padding at the top and bottom od matrix cells.



        In addition, as there is a great contrast in size between normal digits and fractions in matrices, I suggest to use the medium-size mfrac from nccmath. Below you can compare the result of both.



        Unrelated: hyperref should be loaded as the last package, with very few exceptions. Also, needless to load graohics when you load graphicx.



        documentclass[11pt]{amsart}
        usepackage{amssymb, latexsym, amsmath, amsthm, enumitem}
        usepackage{graphicx, multicol, tikz, pgfplots, tkz-euclide, relsize, framed}
        usepackage{nccmath}
        usepackage[math]{cellspace}
        setlength{cellspacetoplimit}{2pt}
        setlength{cellspacebottomlimit}{2pt}
        usepackage{hyperref}
        usetikzlibrary{calc}
        tikzset{fontscale/.style = {font=relsize{#1}}}

        setlength{topmargin}{-0.750in}
        setlength{textheight}{9.5in}
        setlength{textwidth}{6.5in}
        setlength{oddsidemargin}{0in}
        setlength{evensidemargin}{0in}
        allowdisplaybreaks
        renewcommand{labelenumi}{(alph{enumi})}
        renewcommand{labelenumii}{roman{enumii}.}
        setlengtharraycolsep{2pt}

        begin{document}

        [ G_{10} =
        begin{bmatrix}
        0 &-frac{2}{25} & -frac{17}{100} & -frac{13}{50} & -frac{7}{20} & -
        frac{11}{25} & -frac{53}{100} & -frac{31}{50} & -frac{71}{100} & -
        frac{4}{5} \
        frac{2}{25} & 0 & -frac{1}{25} & -frac{3}{25} & -frac{1}{5} & -
        frac{7}{25} & -frac{9}{25} & -frac{11}{25} & -frac{13}{25} & -
        frac{3}{5} \
        frac{17}{100} & frac{1}{25} & 0 & frac{1}{50} & -frac{1}{20} & -
        frac{3}{25} & -frac{19}{100} & -frac{13}{50} & -frac{33}{100} & -
        frac{2}{5} \
        frac{13}{50} & frac{3}{25} & -frac{1}{50} & 0 & frac{1}{10} &
        frac{1}{25} & -frac{1}{50} & -frac{2}{25} & -frac{7}{50} & -
        frac{1}{5} \
        frac{7}{20} & frac{1}{5} & frac{1}{20} & -frac{1}{10} & 0 &
        frac{1}{5} & frac{3}{20} & frac{1}{10} & frac{1}{20} & 0 \
        frac{11}{25} & frac{7}{25} & frac{3}{25} & -frac{1}{25} & -frac{1}
        {5} & 0 & frac{8}{25} & frac{7}{25} & frac{6}{25} & frac{1}{5} \
        frac{53}{100} & frac{9}{25} & frac{19}{100} & frac{1}{50} & -
        frac{3}{20} & -frac{8}{25} & 0 & frac{23}{50} & frac{43}{100} &
        frac{2}{5} \
        frac{31}{50} & frac{11}{25} & frac{13}{50} & frac{2}{25} & -
        frac{1}{10} & -frac{7}{25} & -frac{23}{50} & 0 & frac{31}{50} &
        frac{3}{5} \
        frac{71}{100} & frac{13}{25} & frac{33}{100} & frac{7}{50} & -
        frac{1}{20} & -frac{6}{25} & -frac{43}{100} & -frac{31}{50} & 0 &
        frac{4}{5} \
        frac{4}{5} & frac{3}{5} & frac{2}{5} & frac{1}{5} & 0 & -frac{1}
        {5} & -frac{2}{5} & -frac{3}{5} & -frac{4}{5} & 0 \
        end{bmatrix}.]bigskip

        [ G_{10} =
        begin{bmatrix}
        0 &-mfrac{2}{25} & -mfrac{17}{100} & -mfrac{13}{50} & -mfrac{7}{20} & -
        mfrac{11}{25} & -mfrac{53}{100} & -mfrac{31}{50} & -mfrac{71}{100} & -
        mfrac{4}{5} \
        mfrac{2}{25} & 0 & -mfrac{1}{25} & -mfrac{3}{25} & -mfrac{1}{5} & -
        mfrac{7}{25} & -mfrac{9}{25} & -mfrac{11}{25} & -mfrac{13}{25} & -
        mfrac{3}{5} \
        mfrac{17}{100} & mfrac{1}{25} & 0 & mfrac{1}{50} & -mfrac{1}{20} & -
        mfrac{3}{25} & -mfrac{19}{100} & -mfrac{13}{50} & -mfrac{33}{100} & -
        mfrac{2}{5} \
        mfrac{13}{50} & mfrac{3}{25} & -mfrac{1}{50} & 0 & mfrac{1}{10} &
        mfrac{1}{25} & -mfrac{1}{50} & -mfrac{2}{25} & -mfrac{7}{50} & -
        mfrac{1}{5} \
        mfrac{7}{20} & mfrac{1}{5} & mfrac{1}{20} & -mfrac{1}{10} & 0 &
        mfrac{1}{5} & mfrac{3}{20} & mfrac{1}{10} & mfrac{1}{20} & 0 \
        mfrac{11}{25} & mfrac{7}{25} & mfrac{3}{25} & -mfrac{1}{25} & -mfrac{1}
        {5} & 0 & mfrac{8}{25} & mfrac{7}{25} & mfrac{6}{25} & mfrac{1}{5} \
        mfrac{53}{100} & mfrac{9}{25} & mfrac{19}{100} & mfrac{1}{50} & -
        mfrac{3}{20} & -mfrac{8}{25} & 0 & mfrac{23}{50} & mfrac{43}{100} &
        mfrac{2}{5} \
        mfrac{31}{50} & mfrac{11}{25} & mfrac{13}{50} & mfrac{2}{25} & -
        mfrac{1}{10} & -mfrac{7}{25} & -mfrac{23}{50} & 0 & mfrac{31}{50} &
        mfrac{3}{5} \
        mfrac{71}{100} & mfrac{13}{25} & mfrac{33}{100} & mfrac{7}{50} & -
        mfrac{1}{20} & -mfrac{6}{25} & -mfrac{43}{100} & -mfrac{31}{50} & 0 &
        mfrac{4}{5} \
        mfrac{4}{5} & mfrac{3}{5} & mfrac{2}{5} & mfrac{1}{5} & 0 & -mfrac{1}
        {5} & -mfrac{2}{5} & -mfrac{3}{5} & -mfrac{4}{5} & 0 \
        end{bmatrix}.]

        end{document}


        enter image description here







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Mar 19 at 19:42

























        answered Mar 19 at 19:00









        BernardBernard

        174k776207




        174k776207















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