Question

If the product of $n$ positive definite matrices is symmetric, is it also positive definite?

score 115 · Answer 1 · 2026-03-27 10:47:48

115

Views

If the product of $n$ positive definite matrices is symmetric, is it also positive definite?

Published on 27 Mar 2026 - 10:47

score 55 · Answer 2 · 2023-02-03 22:10:17

55

Views

$N^TN=I_m$ and $A^TN=(A^TN)^T$

Published on 03 Feb 2023 - 22:10

score 149 · Answer 3 · 2026-03-29 05:50:09

149

Views

Can a symmetric positive definite matrix interpolation have linear trace and determinant?

Published on 29 Mar 2026 - 5:50

score 44 · Answer 4 · 2026-03-27 14:03:17

44

Views

For positive semidefinite unit trace $\Gamma$, what is $\{ x \in \mathbb R^N: x^T A x = \text{tr}(A \Gamma) \ \forall A \in\mathbb R^{N \times N} \}$?

Published on 27 Mar 2026 - 14:03

score 55 · Answer 5 · 2026-03-29 07:29:14

55

Views

Given positive matrix $H = A + i B \ge 0$, what constraints hold between real and imaginary parts $A$ and $B$?

Published on 29 Mar 2026 - 7:29

score 63 · Answer 6 · 2023-02-09 01:35:42

63

Views

True/False: Questions from Anton Howard's Linear Algebra

Published on 09 Feb 2023 - 1:35

score 60 · Answer 7 · 2026-03-27 10:44:06

60

Views

Trace of PSD matrices

Published on 27 Mar 2026 - 10:44

score 71 · Answer 8 · 2026-03-27 10:46:21

71

Views

Is there a nonzero commutative and associative product preserving the symmetric positive semidefinite matrices?

Published on 27 Mar 2026 - 10:46

score 122 · Answer 9 · 2023-02-15 16:41:21

122

Views

Given a set of orthogonal, symmetric, rank-1 matrices, can the set be completed with additional rank-1 matrices to form a basis for symmetric matrices

Published on 15 Feb 2023 - 16:41

score 192 · Answer 10 · 2023-02-18 11:10:13

192

Views

Diagonalising a $2 \times 2$ symmetric matrix

Published on 18 Feb 2023 - 11:10

score 167 · Answer 11 · 2026-03-25 15:51:49

167

Views

Definition of a finite vector-valued Radon measure: isn't this condition vacuous?

Published on 25 Mar 2026 - 15:51

score 24 · Answer 12 · 2023-02-20 16:01:07

24

Views

Boundedness of a set under perturbation

Published on 20 Feb 2023 - 16:01

score 27 · Answer 13 · 2023-02-20 21:38:09

27

Views

Basis of symmetric matrix

Published on 20 Feb 2023 - 21:38

score 105 · Answer 14 · 2026-03-29 05:42:41

105

Views

Is $A^*A$ a positive definite matrix?

Published on 29 Mar 2026 - 5:42

score 103 · Answer 15 · 2023-02-22 23:09:14

103

Views

Relationship between $A$ and $\frac{1}{2}(A + A^T)$?

Published on 22 Feb 2023 - 23:09

List Question

If the product of $n$ positive definite matrices is symmetric, is it also positive definite?

$N^TN=I_m$ and $A^TN=(A^TN)^T$

Can a symmetric positive definite matrix interpolation have linear trace and determinant?

For positive semidefinite unit trace $\Gamma$, what is $\{ x \in \mathbb R^N: x^T A x = \text{tr}(A \Gamma) \ \forall A \in\mathbb R^{N \times N} \}$?

Given positive matrix $H = A + i B \ge 0$, what constraints hold between real and imaginary parts $A$ and $B$?

True/False: Questions from Anton Howard's Linear Algebra

Trace of PSD matrices

Is there a nonzero commutative and associative product preserving the symmetric positive semidefinite matrices?

Given a set of orthogonal, symmetric, rank-1 matrices, can the set be completed with additional rank-1 matrices to form a basis for symmetric matrices

Diagonalising a $2 \times 2$ symmetric matrix

Definition of a finite vector-valued Radon measure: isn't this condition vacuous?

Boundedness of a set under perturbation

Basis of symmetric matrix

Is $A^*A$ a positive definite matrix?

Relationship between $A$ and $\frac{1}{2}(A + A^T)$?

Trending Questions

Popular # Hahtags

Popular Questions