Determinant with tikz latex












1















I need your help to formulate Sarrus rule for 3X3 matrix
enter image description here



Thanks in advance.






tikz-matrix







share|improve this question























  • There is already an answer of that sort here.

    – marmot
    Feb 23 at 15:42











  • Thanks marmot. How to add the multiplication results (-4 0 6) at up and (0 16 -12) at down of matrix?

    – Said
    Feb 23 at 15:49






  • 2





    I never teach Sarrus' rule. It is handy, if you know it, in some cases; but students tend to use it also for larger matrices.

    – egreg
    Feb 23 at 16:07











  • Off-topic. Is that a 3x3 matrix?

    – manooooh
    Feb 23 at 16:33











  • see tex.stackexchange.com/questions/257043

    – Zarko
    Feb 23 at 16:49
















1















I need your help to formulate Sarrus rule for 3X3 matrix
enter image description here



Thanks in advance.






tikz-matrix







share|improve this question























  • There is already an answer of that sort here.

    – marmot
    Feb 23 at 15:42











  • Thanks marmot. How to add the multiplication results (-4 0 6) at up and (0 16 -12) at down of matrix?

    – Said
    Feb 23 at 15:49






  • 2





    I never teach Sarrus' rule. It is handy, if you know it, in some cases; but students tend to use it also for larger matrices.

    – egreg
    Feb 23 at 16:07











  • Off-topic. Is that a 3x3 matrix?

    – manooooh
    Feb 23 at 16:33











  • see tex.stackexchange.com/questions/257043

    – Zarko
    Feb 23 at 16:49














1












1








1


0






I need your help to formulate Sarrus rule for 3X3 matrix
enter image description here



Thanks in advance.






tikz-matrix







share|improve this question














I need your help to formulate Sarrus rule for 3X3 matrix
enter image description here



Thanks in advance.






tikz-matrix




tikz-matrix






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Feb 23 at 15:41









SaidSaid

252




252













  • There is already an answer of that sort here.

    – marmot
    Feb 23 at 15:42











  • Thanks marmot. How to add the multiplication results (-4 0 6) at up and (0 16 -12) at down of matrix?

    – Said
    Feb 23 at 15:49






  • 2





    I never teach Sarrus' rule. It is handy, if you know it, in some cases; but students tend to use it also for larger matrices.

    – egreg
    Feb 23 at 16:07











  • Off-topic. Is that a 3x3 matrix?

    – manooooh
    Feb 23 at 16:33











  • see tex.stackexchange.com/questions/257043

    – Zarko
    Feb 23 at 16:49



















  • There is already an answer of that sort here.

    – marmot
    Feb 23 at 15:42











  • Thanks marmot. How to add the multiplication results (-4 0 6) at up and (0 16 -12) at down of matrix?

    – Said
    Feb 23 at 15:49






  • 2





    I never teach Sarrus' rule. It is handy, if you know it, in some cases; but students tend to use it also for larger matrices.

    – egreg
    Feb 23 at 16:07











  • Off-topic. Is that a 3x3 matrix?

    – manooooh
    Feb 23 at 16:33











  • see tex.stackexchange.com/questions/257043

    – Zarko
    Feb 23 at 16:49

















There is already an answer of that sort here.

– marmot
Feb 23 at 15:42





There is already an answer of that sort here.

– marmot
Feb 23 at 15:42













Thanks marmot. How to add the multiplication results (-4 0 6) at up and (0 16 -12) at down of matrix?

– Said
Feb 23 at 15:49





Thanks marmot. How to add the multiplication results (-4 0 6) at up and (0 16 -12) at down of matrix?

– Said
Feb 23 at 15:49




2




2





I never teach Sarrus' rule. It is handy, if you know it, in some cases; but students tend to use it also for larger matrices.

– egreg
Feb 23 at 16:07





I never teach Sarrus' rule. It is handy, if you know it, in some cases; but students tend to use it also for larger matrices.

– egreg
Feb 23 at 16:07













Off-topic. Is that a 3x3 matrix?

– manooooh
Feb 23 at 16:33





Off-topic. Is that a 3x3 matrix?

– manooooh
Feb 23 at 16:33













see tex.stackexchange.com/questions/257043

– Zarko
Feb 23 at 16:49





see tex.stackexchange.com/questions/257043

– Zarko
Feb 23 at 16:49










1 Answer
1






active

oldest

votes


















1














Here is a proposal.



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1]{mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1]{mylabel};

 }

end{tikzpicture} 

end{document}


enter image description here



Or



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1] (LL-X) {mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1] (LU-X) {mylabel};

 }

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LU-3.east) -- ++ (3,0) node[right] {Subtract these products};

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LL-3.east-|LU-3.east) -- ++ (3,0) node[right] {Add these products};

end{tikzpicture} 

end{document}


enter image description here






share|improve this answer


























  • Wonderful!! thanks so much marmot.

    – Said
    Feb 23 at 15:57











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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









1














Here is a proposal.



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1]{mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1]{mylabel};

 }

end{tikzpicture} 

end{document}


enter image description here



Or



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1] (LL-X) {mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1] (LU-X) {mylabel};

 }

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LU-3.east) -- ++ (3,0) node[right] {Subtract these products};

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LL-3.east-|LU-3.east) -- ++ (3,0) node[right] {Add these products};

end{tikzpicture} 

end{document}


enter image description here






share|improve this answer


























  • Wonderful!! thanks so much marmot.

    – Said
    Feb 23 at 15:57
















1














Here is a proposal.



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1]{mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1]{mylabel};

 }

end{tikzpicture} 

end{document}


enter image description here



Or



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1] (LL-X) {mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1] (LU-X) {mylabel};

 }

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LU-3.east) -- ++ (3,0) node[right] {Subtract these products};

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LL-3.east-|LU-3.east) -- ++ (3,0) node[right] {Add these products};

end{tikzpicture} 

end{document}


enter image description here






share|improve this answer


























  • Wonderful!! thanks so much marmot.

    – Said
    Feb 23 at 15:57














1












1








1







Here is a proposal.



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1]{mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1]{mylabel};

 }

end{tikzpicture} 

end{document}


enter image description here



Or



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1] (LL-X) {mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1] (LU-X) {mylabel};

 }

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LU-3.east) -- ++ (3,0) node[right] {Subtract these products};

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LL-3.east-|LU-3.east) -- ++ (3,0) node[right] {Add these products};

end{tikzpicture} 

end{document}


enter image description here






share|improve this answer















Here is a proposal.



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1]{mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1]{mylabel};

 }

end{tikzpicture} 

end{document}


enter image description here



Or



documentclass[tikz,border=3.14mm]{standalone}

usetikzlibrary{matrix}

begin{document}

begin{tikzpicture}

 edeflstadd{{0,16,-12}}

 edeflstsub{{-4,0,6}}

 matrix[matrix of math nodes,nodes={text width=1.5em}] (mat)

 {

    0 & 2 & 1 & 0 & 2 \

    3 & -1 & 2 & 3 & -1\

    4 & -4 & 1 & 4 & -4\

 };

 foreach X [evaluate=X as Y using {int(X+2)}]in {1,2,3}

 {pgfmathtruncatemacro{mylabel}{lstadd[X-1]}

 draw[purple,-latex,thick] (mat-1-X.north west) -- (mat-3-Y.south east)

 node[pos=1.1] (LL-X) {mylabel};

 pgfmathtruncatemacro{mylabel}{lstsub[X-1]}

 draw[purple,-latex,thick] (mat-3-X.south west) -- (mat-1-Y.north east)

 node[pos=1.1] (LU-X) {mylabel};

 }

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LU-3.east) -- ++ (3,0) node[right] {Subtract these products};

 draw[line width=1mm,purple,latex-,shorten >=1cm,shorten <=1cm]

 (LL-3.east-|LU-3.east) -- ++ (3,0) node[right] {Add these products};

end{tikzpicture} 

end{document}


enter image description here







share|improve this answer














share|improve this answer



share|improve this answer








edited Feb 23 at 15:59

























answered Feb 23 at 15:54









marmotmarmot

105k4126241




105k4126241













  • Wonderful!! thanks so much marmot.

    – Said
    Feb 23 at 15:57



















  • Wonderful!! thanks so much marmot.

    – Said
    Feb 23 at 15:57

















Wonderful!! thanks so much marmot.

– Said
Feb 23 at 15:57





Wonderful!! thanks so much marmot.

– Said
Feb 23 at 15:57


















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