Question

Show that the determinant of a 4x4 skew-symmetric matrix is non-negative

score 332 · Answer 1 · 2023-04-25 06:40:02

332

Views

Show that the determinant of a 4x4 skew-symmetric matrix is non-negative

Published on 25 Apr 2023 - 6:40

score 104 · Answer 2 · 2023-05-19 16:50:40

104

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Can any symmetric matrix with zero diagonals be written as the commutator of a skew-symmetric and diagonal matrix with positive diagonals?

Published on 19 May 2023 - 16:50

score 40 · Answer 3 · 2023-05-23 01:12:36

40

Views

Is there an example that a specific matrix has Jordan block $J_{2}(i)$?

Published on 23 May 2023 - 1:12

score 53 · Answer 4 · 2023-05-24 19:15:45

53

Views

Eigenvalues of skew-symmetric matrices from 2D random points

Published on 24 May 2023 - 19:15

score 16 · Answer 5 · 2023-06-02 09:52:08

16

Views

Efficient algorithm for systems $(I + S)x = b$, where $S$ is antisymmetric?

Published on 02 Jun 2023 - 9:52

score 34 · Answer 6 · 2023-06-13 08:39:19

34

Views

Definition of the (anti-)symmetric part of a tensor

Published on 13 Jun 2023 - 8:39

score 66 · Answer 7 · 2023-06-16 14:06:54

66

Views

For skew-symmetric $U$, prove that $U(1-U^\dagger U)^{-1}$ is, too

Published on 16 Jun 2023 - 14:06

score 270 · Answer 8 · 2023-06-18 13:45:49

270

Views

Eigenvalues and eigenvectors of skew-symmetric matrix

Published on 18 Jun 2023 - 13:45

score 59 · Answer 9 · 2023-06-24 15:06:50

59

Views

Skew-symmetric matrix absolute value and row/column sums

Published on 24 Jun 2023 - 15:06

score 90 · Answer 10 · 2023-06-25 09:20:26

90

Views

Product of a positive diagonal matrix with a skew symmetric matrix yields a matrix with imaginary eigenvalues.

Published on 25 Jun 2023 - 9:20

score 65 · Answer 11 · 2023-07-22 12:26:07

65

Views

How to block-diagonalize a skew symmetric matrix

Published on 22 Jul 2023 - 12:26

score 347 · Answer 12 · 2023-07-25 13:29:21

347

Views

Let $A$ be a skew-symmetric real matrix, prove that there exists a vector $x\ge0$ such that $Ax\ge0$ and $Ax + x > 0$

Published on 25 Jul 2023 - 13:29

score 110 · Answer 13 · 2023-08-13 19:44:39

110

Views

Find a matrix representation of $(fL)(x,y) = L(Ax, Ay)$, where A $\in \mathbb{R}^{3 \times 3}$

Published on 13 Aug 2023 - 19:44

score 98 · Answer 14 · 2023-09-05 17:17:17

98

Views

How many groups with $100$ elements exist, where for min. $80\%$ of the pairs $(a, b)$ is $ab = cba$, for some constant $c$?

Published on 05 Sep 2023 - 17:17

score 60 · Answer 15 · 2023-10-21 04:00:21

60

Views

Property of skew symmetric matrix

Published on 21 Oct 2023 - 4:00

List Question

Show that the determinant of a 4x4 skew-symmetric matrix is non-negative

Can any symmetric matrix with zero diagonals be written as the commutator of a skew-symmetric and diagonal matrix with positive diagonals?

Is there an example that a specific matrix has Jordan block $J_{2}(i)$?

Eigenvalues of skew-symmetric matrices from 2D random points

Efficient algorithm for systems $(I + S)x = b$, where $S$ is antisymmetric?

Definition of the (anti-)symmetric part of a tensor

For skew-symmetric $U$, prove that $U(1-U^\dagger U)^{-1}$ is, too

Eigenvalues and eigenvectors of skew-symmetric matrix

Skew-symmetric matrix absolute value and row/column sums

Product of a positive diagonal matrix with a skew symmetric matrix yields a matrix with imaginary eigenvalues.

How to block-diagonalize a skew symmetric matrix

Let $A$ be a skew-symmetric real matrix, prove that there exists a vector $x\ge0$ such that $Ax\ge0$ and $Ax + x > 0$

Find a matrix representation of $(fL)(x,y) = L(Ax, Ay)$, where A $\in \mathbb{R}^{3 \times 3}$

How many groups with $100$ elements exist, where for min. $80\%$ of the pairs $(a, b)$ is $ab = cba$, for some constant $c$?

Property of skew symmetric matrix

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