List questions from symmetric-matrices

Published on 25 Mar 2026 - 4:40

37

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For real square matrices $A, B$ of compatible dimensions, does the following inequality hold?

Published on 25 Mar 2026 - 9:27

132

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Adding a multiple of the identity into a generalized eigenvalue problem

Published on 26 Mar 2026 - 3:19

484

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A interesting question on Skew-symmetric matrix...finding the determinant.

Published on 26 Mar 2026 - 1:10

114

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Find eigenvalues/vectors of $A=\mathbf{u}\mathbf{v}^T+\mathbf{v}\mathbf{u}^T$ where $\mathbf{u},\mathbf{v}$ are orthonormal

Published on 25 Mar 2026 - 17:43

46

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equivalent statement for positive definitiveness

Published on 25 Mar 2026 - 12:47

263

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Rank property of a matrix including symmetric and persymmetric Hankel matrix

Published on 25 Mar 2026 - 20:36

2.8k

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Prove that the span of $\{M_1, M_2, M_3\}$ is the set of all symmetric $2\times2$ matrices.

Published on 16 Sep 2018 - 1:08

56

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Proving $S= S^3$

Published on 18 Sep 2018 - 10:20

283

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Are the corner hypercubera polytopes self-dual?

Published on 25 Mar 2026 - 4:37

901

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Does maximizing the Rayleigh quotient using the method of Lagrange multipliers require the matrix to be positive semidefinite?

Published on 23 Mar 2026 - 5:45

821

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Graham's formula for determinant of distance matrix of a tree

Published on 23 Mar 2026 - 4:10

693

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Trace of the square root inside commutation property

Published on 25 Sep 2018 - 11:20

442

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Closed form solution for block matrix A in $AXA^T=C$

Published on 25 Mar 2026 - 6:08

846

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Prove that these matrices are conditionally negative definite

Published on 27 Sep 2018 - 18:05

List Question

Set of symmetric positive semidefinite matrices is closed

For real square matrices $A, B$ of compatible dimensions, does the following inequality hold?

Adding a multiple of the identity into a generalized eigenvalue problem

A interesting question on Skew-symmetric matrix...finding the determinant.

Find eigenvalues/vectors of $A=\mathbf{u}\mathbf{v}^T+\mathbf{v}\mathbf{u}^T$ where $\mathbf{u},\mathbf{v}$ are orthonormal

equivalent statement for positive definitiveness

Rank property of a matrix including symmetric and persymmetric Hankel matrix

Prove that the span of $\{M_1, M_2, M_3\}$ is the set of all symmetric $2\times2$ matrices.

Proving $S= S^3$

Are the corner hypercubera polytopes self-dual?

Does maximizing the Rayleigh quotient using the method of Lagrange multipliers require the matrix to be positive semidefinite?

Graham's formula for determinant of distance matrix of a tree

Trace of the square root inside commutation property

Closed form solution for block matrix A in $AXA^T=C$

Prove that these matrices are conditionally negative definite

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