unitary vector product of non unitary matrix and vector
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So my problem is that I have a known matrix $M$ and a unknown vector $vec P$ and the only realation I have connecting them is $M$$ vec A$ = $vec P$, where $ vec A$ is also unknown. The only other bit of information I have is that $P$ is unitary. Does anyone what type of formular could be applied to try and find the solution to $vec P$?
abstract-algebra
asked Dec 4 '18 at 14:59
NoddyNoddy
1
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add a comment |
$begingroup$
So my problem is that I have a known matrix $M$ and a unknown vector $vec P$ and the only realation I have connecting them is $M$$ vec A$ = $vec P$, where $ vec A$ is also unknown. The only other bit of information I have is that $P$ is unitary. Does anyone what type of formular could be applied to try and find the solution to $vec P$?
abstract-algebra
asked Dec 4 '18 at 14:59
NoddyNoddy
1
$endgroup$
$begingroup$
The only thing you can do is to write the entries of $P$ as a linear combination of the entries of $A$.
$endgroup$
– Gustavo
Dec 5 '18 at 0:35
add a comment |
$begingroup$
So my problem is that I have a known matrix $M$ and a unknown vector $vec P$ and the only realation I have connecting them is $M$$ vec A$ = $vec P$, where $ vec A$ is also unknown. The only other bit of information I have is that $P$ is unitary. Does anyone what type of formular could be applied to try and find the solution to $vec P$?
abstract-algebra
asked Dec 4 '18 at 14:59
NoddyNoddy
1
$endgroup$
So my problem is that I have a known matrix $M$ and a unknown vector $vec P$ and the only realation I have connecting them is $M$$ vec A$ = $vec P$, where $ vec A$ is also unknown. The only other bit of information I have is that $P$ is unitary. Does anyone what type of formular could be applied to try and find the solution to $vec P$?
abstract-algebra
abstract-algebra
asked Dec 4 '18 at 14:59
NoddyNoddy
1
asked Dec 4 '18 at 14:59
NoddyNoddy
1
asked Dec 4 '18 at 14:59
NoddyNoddy
1
asked Dec 4 '18 at 14:59
NoddyNoddy
1
asked Dec 4 '18 at 14:59
NoddyNoddy
1
1
$begingroup$
The only thing you can do is to write the entries of $P$ as a linear combination of the entries of $A$.
$endgroup$
– Gustavo
Dec 5 '18 at 0:35
add a comment |
$begingroup$
The only thing you can do is to write the entries of $P$ as a linear combination of the entries of $A$.
$endgroup$
– Gustavo
Dec 5 '18 at 0:35
$begingroup$
The only thing you can do is to write the entries of $P$ as a linear combination of the entries of $A$.
$endgroup$
– Gustavo
Dec 5 '18 at 0:35
$begingroup$
The only thing you can do is to write the entries of $P$ as a linear combination of the entries of $A$.
$endgroup$
– Gustavo
Dec 5 '18 at 0:35
add a comment |
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$begingroup$
The only thing you can do is to write the entries of $P$ as a linear combination of the entries of $A$.
$endgroup$
– Gustavo
Dec 5 '18 at 0:35