Question

If a symmetric PSD matrix has a zero entry on the main diagonal, its determinant is zero

score 572 · Answer 1 · 2021-12-01 10:48:32

572

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If a symmetric PSD matrix has a zero entry on the main diagonal, its determinant is zero

Published on 01 Dec 2021 - 10:48

score 100 · Answer 2 · 2026-03-25 18:49:12

100

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How to prove that a certain block matrix is positive semi definite, which depends on a undetermined submatrix

Published on 25 Mar 2026 - 18:49

score 98 · Answer 3 · 2021-12-05 00:05:37

98

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Let $A\in\mathbb R^{n\times n}$ be positive definite. Show that $\left[ \begin{matrix}A&I\\I&A^{-1}\end{matrix}\right]\ge0$.

Published on 05 Dec 2021 - 0:05

score 46 · Answer 4 · 2021-12-06 10:01:02

46

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Square symmetric matrix and its determinant to prove positive semidefiniteness

Published on 06 Dec 2021 - 10:01

score 38 · Answer 5 · 2021-12-10 19:38:11

38

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Does multiplying psd matrices with upper/lower bounds preserve the bound?

Published on 10 Dec 2021 - 19:38

score 110 · Answer 6 · 2021-12-13 17:12:36

110

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The meaning of symbols related to positive definite matrices

Published on 13 Dec 2021 - 17:12

score 266 · Answer 7 · 2021-12-14 06:59:34

266

Views

If matrix is not positive semidefinite then there is $x$ such that $x^T A x < 0$

Published on 14 Dec 2021 - 6:59

score 331 · Answer 8 · 2021-12-16 17:50:11

331

Views

Loewner order and norms of images: Does $A \preccurlyeq B$ imply $\|Ax\| \leq \|Bx\|$?

Published on 16 Dec 2021 - 17:50

score 419 · Answer 9 · 2026-03-25 21:22:17

419

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Positive semidefiniteness of sparse Hermitian Toeplitz matrix

Published on 25 Mar 2026 - 21:22

score 218 · Answer 10 · 2021-12-22 22:09:38

218

Views

A positive semidefinite bilinear form must be degenerate?

Published on 22 Dec 2021 - 22:09

score 57 · Answer 11 · 2021-12-25 12:58:25

57

Views

Subtraction of two positive semidefinite

Published on 25 Dec 2021 - 12:58

score 640 · Answer 12 · 2022-01-02 19:20:03

640

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Is the set of positive-definite symmetric matrices open in the set of all matrices?

Published on 02 Jan 2022 - 19:20

score 39 · Answer 13 · 2022-01-10 13:37:25

39

Views

Connection Positive Semi Definite matrices and eigenvalues

Published on 10 Jan 2022 - 13:37

score 55 · Answer 14 · 2022-01-11 20:14:54

55

Views

Conditions for positivity of this symmetric real matrix

Published on 11 Jan 2022 - 20:14

score 119 · Answer 15 · 2022-01-12 22:08:35

119

Views

If $A$ is a symmetric matrix, then is the augmented matrix $A^tA$ positive-definite?

Published on 12 Jan 2022 - 22:08

List Question

If a symmetric PSD matrix has a zero entry on the main diagonal, its determinant is zero

How to prove that a certain block matrix is positive semi definite, which depends on a undetermined submatrix

Let $A\in\mathbb R^{n\times n}$ be positive definite. Show that $\left[ \begin{matrix}A&I\\I&A^{-1}\end{matrix}\right]\ge0$.

Square symmetric matrix and its determinant to prove positive semidefiniteness

Does multiplying psd matrices with upper/lower bounds preserve the bound?

The meaning of symbols related to positive definite matrices

If matrix is not positive semidefinite then there is $x$ such that $x^T A x < 0$

Loewner order and norms of images: Does $A \preccurlyeq B$ imply $\|Ax\| \leq \|Bx\|$?

Positive semidefiniteness of sparse Hermitian Toeplitz matrix

A positive semidefinite bilinear form must be degenerate?

Subtraction of two positive semidefinite

Is the set of positive-definite symmetric matrices open in the set of all matrices?

Connection Positive Semi Definite matrices and eigenvalues

Conditions for positivity of this symmetric real matrix

If $A$ is a symmetric matrix, then is the augmented matrix $A^tA$ positive-definite?

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