Question

Is there a closed form solution for this problem?

score 43 · Answer 1 · 2020-10-25 04:10:28

43

Views

Is there a closed form solution for this problem?

Published on 25 Oct 2020 - 4:10

score 149 · Answer 2 · 2020-11-06 11:36:30

149

Views

Prove that in a real inner product space $V$ an endomorphism $f$ is skew-Hermitian if and only if $\langle v,f(\vec v)\rangle=0$ for all $v\in V$

Published on 06 Nov 2020 - 11:36

score 91 · Answer 3 · 2020-11-08 15:24:31

91

Views

$(I-B)^{-1} (I+B)$ always orthogonal if $B$ anti-symmetric

Published on 08 Nov 2020 - 15:24

score 102 · Answer 4 · 2020-11-09 11:02:57

102

Views

Relationship determinant symmetric matrix and skew-symmetric counterpart

Published on 09 Nov 2020 - 11:02

score 70 · Answer 5 · 2020-11-28 10:49:04

70

Views

Let $A\in\mathbb{R}^{n\times n}$ be a skew-symmetric matrix, is the Rayleigh quotient of $A$ always $0$?

Published on 28 Nov 2020 - 10:49

score 111 · Answer 6 · 2020-12-02 23:36:25

111

Views

If matrix $B$ is skew-symmetric with eigenvalue $r$, then $-r$ is also an eigenvalue of $B$

Published on 02 Dec 2020 - 23:36

score 132 · Answer 7 · 2020-12-17 16:28:42

132

Views

Showing results regarding Cayley Transform

Published on 17 Dec 2020 - 16:28

score 728 · Answer 8 · 2020-12-18 14:22:27

728

Views

Under what conditions can we find a basis of a Lie algebra such that the adjoint representation acts by skew-symmetric matrices?

Published on 18 Dec 2020 - 14:22

score 71 · Answer 9 · 2021-01-19 20:36:47

71

Views

When do we have orthogonal bases in a vector space equipped with a skew-symmetric form?

Published on 19 Jan 2021 - 20:36

score 24 · Answer 10 · 2021-02-09 04:21:14

24

Views

How can we solve $M^t (dM/dx) = C$?

Published on 09 Feb 2021 - 4:21

score 74 · Answer 11 · 2021-02-10 22:18:10

74

Views

Given linear operator $A: R^3 \to R^3$, $\forall x \in R^3: (Ax, x)=0$, prove that A is skew-symmetric operator.

Published on 10 Feb 2021 - 22:18

score 120 · Answer 12 · 2021-02-17 11:50:11

120

Views

What are the practical implications of the eigenvalues of a skew-symmetric matrix being purely imaginary or zero?

Published on 17 Feb 2021 - 11:50

score 129 · Answer 13 · 2021-03-03 01:06:11

129

Views

How do I find $\operatorname{det} T_Q$?

Published on 03 Mar 2021 - 1:06

score 166 · Answer 14 · 2021-03-05 21:26:18

166

Views

How to decompose a $3\times 3$ orthoginal matrix back into Reflection and Rotation components.

Published on 05 Mar 2021 - 21:26

score 256 · Answer 15 · 2026-02-22 23:09:14

256

Views

Relationship between the Pfaffian and determinant from exterior algebra

Published on 22 Feb 2026 - 23:09

List Question

Is there a closed form solution for this problem?

Prove that in a real inner product space $V$ an endomorphism $f$ is skew-Hermitian if and only if $\langle v,f(\vec v)\rangle=0$ for all $v\in V$

$(I-B)^{-1} (I+B)$ always orthogonal if $B$ anti-symmetric

Relationship determinant symmetric matrix and skew-symmetric counterpart

Let $A\in\mathbb{R}^{n\times n}$ be a skew-symmetric matrix, is the Rayleigh quotient of $A$ always $0$?

If matrix $B$ is skew-symmetric with eigenvalue $r$, then $-r$ is also an eigenvalue of $B$

Showing results regarding Cayley Transform

Under what conditions can we find a basis of a Lie algebra such that the adjoint representation acts by skew-symmetric matrices?

When do we have orthogonal bases in a vector space equipped with a skew-symmetric form?

How can we solve $M^t (dM/dx) = C$?

Given linear operator $A: R^3 \to R^3$, $\forall x \in R^3: (Ax, x)=0$, prove that A is skew-symmetric operator.

What are the practical implications of the eigenvalues of a skew-symmetric matrix being purely imaginary or zero?

How do I find $\operatorname{det} T_Q$?

How to decompose a $3\times 3$ orthoginal matrix back into Reflection and Rotation components.

Relationship between the Pfaffian and determinant from exterior algebra

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