List questions from matrix-decomposition

Published on 02 Jun 2020 - 23:08

124

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matrix product, norm

Published on 03 Jun 2020 - 18:37

196

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Accuracy of low rank approximation

Published on 29 Mar 2026 - 9:10

75

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Relation between the weights of x vectors and corresponding eigenvalue of the covariance matrix of vectors?

Published on 23 Feb 2026 - 10:05

457

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$PA = LU$ decomposition

Published on 29 Mar 2026 - 0:08

229

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Construct symmetric matrix with zero diagonal from given eigenvalues

Published on 08 Jun 2020 - 14:40

31

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Finding LU factorization and one number is off

Published on 10 Jun 2020 - 2:03

102

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Which is the canonical base for the Space of Complex matrices $A\in \Bbb{C}^{n\times n}$?

Published on 10 Jun 2020 - 8:28

482

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How can I represent the inclusion-exclusion principle in a matrix form?

Published on 27 Mar 2026 - 23:20

97

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If $\operatorname{ker} T \neq \{0\}$, there is $S: V \rightarrow V$, $S\neq 0$, with $T \circ S = 0$.

Published on 10 Jun 2020 - 17:51

30

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How to prove that if $MM^TU=U\Sigma^2$ and $M^TMV=V\Sigma^2$ then $U$ and $V$ are orthogonal?

Published on 27 Mar 2026 - 14:03

1.7k

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Is the permutation matrix P of PLU decomposition unique?

Published on 25 Mar 2026 - 11:05

121

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Where is the Schatten norm differentiable?

Published on 14 Jun 2020 - 10:29

178

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Can every square matrix be written as product of an invertible matrix and a projection matrix?

Published on 27 Mar 2026 - 3:44

377

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How to prove a tighter bound $|\lambda_3-1| \leq \epsilon^2$ for an eigenvalue of $A$ with Gerschgorin's theorem and similar matrices?

Published on 15 Jun 2020 - 18:57

List Question

What can be said about $A$ in the matrix equality $BF(A-I_n) = FA(A-I_n)$?

matrix product, norm

Accuracy of low rank approximation

Relation between the weights of x vectors and corresponding eigenvalue of the covariance matrix of vectors?

$PA = LU$ decomposition

Construct symmetric matrix with zero diagonal from given eigenvalues

Finding LU factorization and one number is off

Which is the canonical base for the Space of Complex matrices $A\in \Bbb{C}^{n\times n}$?

How can I represent the inclusion-exclusion principle in a matrix form?

If $\operatorname{ker} T \neq \{0\}$, there is $S: V \rightarrow V$, $S\neq 0$, with $T \circ S = 0$.

How to prove that if $MM^TU=U\Sigma^2$ and $M^TMV=V\Sigma^2$ then $U$ and $V$ are orthogonal?

Is the permutation matrix P of PLU decomposition unique?

Where is the Schatten norm differentiable?

Can every square matrix be written as product of an invertible matrix and a projection matrix?

How to prove a tighter bound $|\lambda_3-1| \leq \epsilon^2$ for an eigenvalue of $A$ with Gerschgorin's theorem and similar matrices?

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