List questions from symmetric-matrices

Published on 26 Mar 2026 - 22:13

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Proof with symmetric positive definite matrices

Published on 26 Mar 2026 - 1:09

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How to prove that $A^2$ is a symmetric matrix?

Published on 05 Dec 2014 - 16:23

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How to prove symmetric matrices are orthogonally diagonalizable.

Published on 03 Oct 2019 - 17:25

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Using the Cholesky decomposition of a matrix instead of its square root to compute eigenvalues

Published on 26 Mar 2026 - 20:40

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Given that B is a symmetric matrix how can I show that if B can be diagonalized then there exists an orthonormal basis of eigenvectors of B?

Published on 07 Oct 2019 - 14:28

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Eigenvalues of matrix with large diagonal element

Published on 13 Oct 2019 - 1:21

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When does this complex symmetric matrix have a real eigenvalue?

Published on 14 Oct 2019 - 2:27

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Does $A \geq B$ imply $I \geq BA^{-1}$?

Published on 25 Mar 2026 - 23:36

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expression of SVD of rank one matrix

Published on 15 Oct 2019 - 14:25

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Showing that $\sqrt{A} = \sqrt{B} \implies A = B$, where $A$ and $B$ are real, symmetric, positive definite matrices

Published on 26 Mar 2026 - 22:16

40

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Positive semidefiniteness of an L matrix

Published on 26 Mar 2026 - 2:54

51

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Positive diagonal entries in $2 \times 2$ matrix

Published on 26 Oct 2019 - 21:22

147

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Matrix with only eigenvalues = 1

Published on 26 Oct 2019 - 21:40

265

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Nearest symmetric matrix with respect to the spectral norm

Published on 30 Oct 2019 - 19:39

List Question

Why does the set of positive definite matrices define a half-space?

Proof with symmetric positive definite matrices

How to prove that $A^2$ is a symmetric matrix?

How to prove symmetric matrices are orthogonally diagonalizable.

Using the Cholesky decomposition of a matrix instead of its square root to compute eigenvalues

Given that B is a symmetric matrix how can I show that if B can be diagonalized then there exists an orthonormal basis of eigenvectors of B?

Eigenvalues of matrix with large diagonal element

When does this complex symmetric matrix have a real eigenvalue?

Does $A \geq B$ imply $I \geq BA^{-1}$?

expression of SVD of rank one matrix

Showing that $\sqrt{A} = \sqrt{B} \implies A = B$, where $A$ and $B$ are real, symmetric, positive definite matrices

Positive semidefiniteness of an L matrix

Positive diagonal entries in $2 \times 2$ matrix

Matrix with only eigenvalues = 1

Nearest symmetric matrix with respect to the spectral norm

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