List questions from symmetric-matrices

Published on 23 Mar 2026 - 8:29

207

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Prove or disprove that $\rho(A) = \| A \|_2$ for any real symmetric matrix $A$

Published on 22 Mar 2026 - 15:05

184

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Inequality concerning trace of the product of symmetric positive matrices

Published on 12 Mar 2026 - 6:45

86

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Proof that any antisymmetric matrix C is congruent to a block diagonal matrix?

Published on 23 Mar 2026 - 5:11

322

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For a symmetric matrices $A$ and $B$ with $AB=BA$, show that the property $X$ holds

Published on 12 Mar 2026 - 9:26

4.8k

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What subspace of $3 \times 3$ matrices is spanned by a given set?

Published on 12 Mar 2026 - 8:21

450

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Projection of a Symmetric Matrix onto the space of Positive Semi-Definite Matrices

Published on 24 Mar 2026 - 19:01

64

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if $||AB||_\infty<1$ is I-AB is positive definite ? provided A,B are symmetric and A+B is positive definite

Published on 22 Mar 2026 - 20:00

75

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Possibly non-trivial inequality about traces and eigenvalues

Published on 25 Mar 2026 - 6:24

437

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Properties of symmetric matrix with row/column sums equal to 0.

Published on 12 Mar 2026 - 6:53

306

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Moore-Penrose equals original matrix

Published on 11 Mar 2026 - 23:07

507

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How to prove idempotent and find the rank

Published on 24 Mar 2026 - 22:01

59

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Building matrix so that the inner product of columns results in an element of another matrix

Published on 25 Mar 2026 - 1:20

11.6k

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Why is $X^T X$ a symmetric matrix?

Published on 11 Mar 2026 - 22:35

2.9k

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Derivative of eigenvectors of a symmetric matrix-valued function

Published on 25 Mar 2026 - 4:39

List Question

Some questions about a $3 \times 3 $ real skew-symmetric matrix

Prove or disprove that $\rho(A) = \| A \|_2$ for any real symmetric matrix $A$

Inequality concerning trace of the product of symmetric positive matrices

Proof that any antisymmetric matrix C is congruent to a block diagonal matrix?

For a symmetric matrices $A$ and $B$ with $AB=BA$, show that the property $X$ holds

What subspace of $3 \times 3$ matrices is spanned by a given set?

Projection of a Symmetric Matrix onto the space of Positive Semi-Definite Matrices

if $||AB||_\infty<1$ is I-AB is positive definite ? provided A,B are symmetric and A+B is positive definite

Possibly non-trivial inequality about traces and eigenvalues

Properties of symmetric matrix with row/column sums equal to 0.

Moore-Penrose equals original matrix

How to prove idempotent and find the rank

Building matrix so that the inner product of columns results in an element of another matrix

Why is $X^T X$ a symmetric matrix?

Derivative of eigenvectors of a symmetric matrix-valued function

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