Signature property [closed]What is the signature of a matrix?Symmetric Square Root of Symmetric Invertible Matrixinverse of quadratic matrix formCalculating the signature of matrix A?for $A$ $ntimes n$ real matrix. $B=A^t A$Eigenvectors and Kronecker productHow to find matrix $A$ from the relation: $Atimes (A^TA)^-1times A^T = B$Signature of matrix that depends on a real parameter $t$Equivalent definitions of the signature of a symmetric matrixKernel of a zero diagonal, non-negative symmetric matrix
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Signature property [closed]
What is the signature of a matrix?Symmetric Square Root of Symmetric Invertible Matrixinverse of quadratic matrix formCalculating the signature of matrix A?for $A$ $ntimes n$ real matrix. $B=A^t A$Eigenvectors and Kronecker productHow to find matrix $A$ from the relation: $Atimes (A^TA)^-1times A^T = B$Signature of matrix that depends on a real parameter $t$Equivalent definitions of the signature of a symmetric matrixKernel of a zero diagonal, non-negative symmetric matrix
$begingroup$
I am trying to figure out if the following statement is true: $$sigma(A) = sigma(PAP^T)$$ where $A$ is a symmetric matrix and $P$ is invertible, $sigma(A)$ denotes the signature of $A$. Thank you in advance for any suggestion.
matrices
asked Mar 16 at 23:50
Maria WJMaria WJ
335
$endgroup$
closed as off-topic by Alex Provost, Cesareo, mrtaurho, José Carlos Santos, Abcd Mar 17 at 16:19
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Alex Provost, Cesareo, mrtaurho, José Carlos Santos, Abcd
add a comment |
$begingroup$
I am trying to figure out if the following statement is true: $$sigma(A) = sigma(PAP^T)$$ where $A$ is a symmetric matrix and $P$ is invertible, $sigma(A)$ denotes the signature of $A$. Thank you in advance for any suggestion.
matrices
asked Mar 16 at 23:50
Maria WJMaria WJ
335
$endgroup$
closed as off-topic by Alex Provost, Cesareo, mrtaurho, José Carlos Santos, Abcd Mar 17 at 16:19
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Alex Provost, Cesareo, mrtaurho, José Carlos Santos, Abcd
$begingroup$
Why do you want to figure this out? What have you already used or done or tried? Why do you mention an $M$ that never appears? What is $A$ doing in this equation?
$endgroup$
– Nij
Mar 17 at 0:11
1
$begingroup$
en.wikipedia.org/wiki/Sylvester%27s_law_of_inertia
$endgroup$
– Will Jagy
Mar 17 at 0:12
$begingroup$
$sigma$ is often used to denote the maximum singular value.
$endgroup$
– copper.hat
Mar 17 at 0:13
add a comment |
$begingroup$
I am trying to figure out if the following statement is true: $$sigma(A) = sigma(PAP^T)$$ where $A$ is a symmetric matrix and $P$ is invertible, $sigma(A)$ denotes the signature of $A$. Thank you in advance for any suggestion.
matrices
asked Mar 16 at 23:50
Maria WJMaria WJ
335
$endgroup$
I am trying to figure out if the following statement is true: $$sigma(A) = sigma(PAP^T)$$ where $A$ is a symmetric matrix and $P$ is invertible, $sigma(A)$ denotes the signature of $A$. Thank you in advance for any suggestion.
matrices
matrices
asked Mar 16 at 23:50
Maria WJMaria WJ
335
asked Mar 16 at 23:50
Maria WJMaria WJ
335
edited Mar 17 at 0:26
Maria WJ
asked Mar 16 at 23:50
Maria WJMaria WJ
335
asked Mar 16 at 23:50
Maria WJMaria WJ
335
asked Mar 16 at 23:50
Maria WJMaria WJ
335
335
closed as off-topic by Alex Provost, Cesareo, mrtaurho, José Carlos Santos, Abcd Mar 17 at 16:19
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Alex Provost, Cesareo, mrtaurho, José Carlos Santos, Abcd
closed as off-topic by Alex Provost, Cesareo, mrtaurho, José Carlos Santos, Abcd Mar 17 at 16:19
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Alex Provost, Cesareo, mrtaurho, José Carlos Santos, Abcd
$begingroup$
Why do you want to figure this out? What have you already used or done or tried? Why do you mention an $M$ that never appears? What is $A$ doing in this equation?
$endgroup$
– Nij
Mar 17 at 0:11
1
$begingroup$
en.wikipedia.org/wiki/Sylvester%27s_law_of_inertia
$endgroup$
– Will Jagy
Mar 17 at 0:12
$begingroup$
$sigma$ is often used to denote the maximum singular value.
$endgroup$
– copper.hat
Mar 17 at 0:13
add a comment |
$begingroup$
Why do you want to figure this out? What have you already used or done or tried? Why do you mention an $M$ that never appears? What is $A$ doing in this equation?
$endgroup$
– Nij
Mar 17 at 0:11
1
$begingroup$
en.wikipedia.org/wiki/Sylvester%27s_law_of_inertia
$endgroup$
– Will Jagy
Mar 17 at 0:12
$begingroup$
$sigma$ is often used to denote the maximum singular value.
$endgroup$
– copper.hat
Mar 17 at 0:13
$begingroup$
Why do you want to figure this out? What have you already used or done or tried? Why do you mention an $M$ that never appears? What is $A$ doing in this equation?
$endgroup$
– Nij
Mar 17 at 0:11
$begingroup$
Why do you want to figure this out? What have you already used or done or tried? Why do you mention an $M$ that never appears? What is $A$ doing in this equation?
$endgroup$
– Nij
Mar 17 at 0:11
1
1
$begingroup$
en.wikipedia.org/wiki/Sylvester%27s_law_of_inertia
$endgroup$
– Will Jagy
Mar 17 at 0:12
$begingroup$
en.wikipedia.org/wiki/Sylvester%27s_law_of_inertia
$endgroup$
– Will Jagy
Mar 17 at 0:12
$begingroup$
$sigma$ is often used to denote the maximum singular value.
$endgroup$
– copper.hat
Mar 17 at 0:13
$begingroup$
$sigma$ is often used to denote the maximum singular value.
$endgroup$
– copper.hat
Mar 17 at 0:13
add a comment |
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$begingroup$
Why do you want to figure this out? What have you already used or done or tried? Why do you mention an $M$ that never appears? What is $A$ doing in this equation?
$endgroup$
– Nij
Mar 17 at 0:11
1
$begingroup$
en.wikipedia.org/wiki/Sylvester%27s_law_of_inertia
$endgroup$
– Will Jagy
Mar 17 at 0:12
$begingroup$
$sigma$ is often used to denote the maximum singular value.
$endgroup$
– copper.hat
Mar 17 at 0:13