List questions from symmetric-matrices

Published on 13 Dec 2019 - 11:39

74

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Assuming matrix $B$ is symmetric, can I prove that $A$ is symmetric

Published on 13 Dec 2019 - 14:04

81

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When is this matrix positive definite?

Published on 27 Mar 2026 - 4:04

273

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if $A$ is a symmetric and nonnegative definite matrix then $A=LL^T$ for some $L$ lower triangular matrix.

Published on 26 Mar 2026 - 7:58

362

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Characterizing the dual cone of the squares of skew-symmetric matrices

Published on 25 Mar 2026 - 3:21

155

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Determinant of a $3\times 3$ real symmetric matrix

Published on 26 Mar 2026 - 8:03

300

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A necessary and sufficient condition for two matrices to be "diagonalized" at the same time

Published on 29 Dec 2019 - 11:34

192

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Sum of squares of skew-symmetric matrices which is not a square itself

Published on 27 Mar 2026 - 5:27

81

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Finding the symmetric square roots of diagonal matrices

Published on 26 Mar 2026 - 7:33

333

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The squares of skew-symmetric matrices span all symmetric matrices

Published on 27 Mar 2026 - 1:08

35

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Does $q I-Y-Y^T\succ 0\implies (Y^T-Y)(q I-Y-Y^T)^{-1}(Y-Y^T)\succ 0$?

Published on 27 Mar 2026 - 5:41

137

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$Q^{t} A Q$ is equal to the identity matrix and $Q^{t} B Q$ is diagonal.

Published on 27 Mar 2026 - 5:39

125

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How to solve an equation containing a matrix and its inverse using least-squares?

Published on 07 Jan 2020 - 12:08

55

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How to prove the statement for any symmetric matrices $A$ and $B$ and any scalars $a$ and $b$,$(aA+bB)^t=aA^t+bB^t$.

Published on 08 Jan 2020 - 4:59

1.4k

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Negative definite matrix and its inverse

Published on 27 Mar 2026 - 7:12

List Question

If $M>0$ and $MA^T + AM <0$, is $A+A^T<0$?

Assuming matrix $B$ is symmetric, can I prove that $A$ is symmetric

When is this matrix positive definite?

if $A$ is a symmetric and nonnegative definite matrix then $A=LL^T$ for some $L$ lower triangular matrix.

Characterizing the dual cone of the squares of skew-symmetric matrices

Determinant of a $3\times 3$ real symmetric matrix

A necessary and sufficient condition for two matrices to be "diagonalized" at the same time

Sum of squares of skew-symmetric matrices which is not a square itself

Finding the symmetric square roots of diagonal matrices

The squares of skew-symmetric matrices span all symmetric matrices

Does $q I-Y-Y^T\succ 0\implies (Y^T-Y)(q I-Y-Y^T)^{-1}(Y-Y^T)\succ 0$?

$Q^{t} A Q$ is equal to the identity matrix and $Q^{t} B Q$ is diagonal.

How to solve an equation containing a matrix and its inverse using least-squares?

How to prove the statement for any symmetric matrices $A$ and $B$ and any scalars $a$ and $b$,$(aA+bB)^t=aA^t+bB^t$.

Negative definite matrix and its inverse

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