Question

Why eigenvalues of a symmetric matrix with zero row sum are not affected with this special manipulation?

score 425 · Answer 1 · 2026-05-10 11:10:40

425

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Why eigenvalues of a symmetric matrix with zero row sum are not affected with this special manipulation?

Published on 10 May 2026 - 11:10

score 104 · Answer 2 · 2026-04-16 06:29:12

104

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Quick and elegant explanation of $B^T A B x = 0 \Rightarrow x = 0$ with $A$ symmetric and $\mathcal R(B) = \mathcal R(A)$.

Published on 16 Apr 2026 - 6:29

score 17k · Answer 3 · 2026-04-16 13:24:51

17k

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What is the dimension of the vector space consisting of all 3 by 3 symmetric matrices? What is a basis for it?

Published on 16 Apr 2026 - 13:24

score 53 · Answer 4 · 2026-04-14 07:42:21

53

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If $T$ is a symmetric matrix, how do I maximize $|Tx - (Tx \cdot x) x|$, where $x \in S^2$?

Published on 14 Apr 2026 - 7:42

score 882 · Answer 5 · 2026-05-11 00:49:48

882

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The largest eigenvalue of AR(1) matrix

Published on 11 May 2026 - 0:49

score 2.1k · Answer 6 · 2026-05-11 01:28:45

2.1k

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Analyze the symmetric property of positive definite matrices

Published on 11 May 2026 - 1:28

score 1.3k · Answer 7 · 2026-05-10 18:26:18

1.3k

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Sum of positive semidefinite and negative definite matrices

Published on 10 May 2026 - 18:26

score 1.6k · Answer 8 · 2026-04-11 09:44:58

1.6k

Views

Loewner order in terms of eigenvalues

Published on 11 Apr 2026 - 9:44

score 336 · Answer 9 · 2026-04-15 13:44:04

336

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Symmetric Bilinear Form: index of bilinear = the number of positive eigenvalues

Published on 15 Apr 2026 - 13:44

score 258 · Answer 10 · 2026-04-12 01:08:05

258

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Show that all eigenvalues of this pentadiagonal matrix are double degenerate

Published on 12 Apr 2026 - 1:08

score 707 · Answer 11 · 2026-04-10 19:59:45

707

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Eigenvalues and eigenvectors of a symmetric matrix whose rows and columns sum to $1$

Published on 10 Apr 2026 - 19:59

score 13.3k · Answer 12 · 2026-05-11 01:37:39

13.3k

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Eigenvalues, orthonormal eigenvectors

Published on 11 May 2026 - 1:37

score 217 · Answer 13 · 2026-04-11 09:41:00

217

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Let $A$ symmetric matrix, and $A^2\ne I$.

Published on 11 Apr 2026 - 9:41

score 432 · Answer 14 · 2026-05-10 17:02:46

432

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If the matrix representation of an orthogonal transformation with respect to a basis is an orthogonal matrix, the basis is an orthonormal basis?

Published on 10 May 2026 - 17:02

score 323 · Answer 15 · 2026-04-10 16:44:32

323

Views

Complex matrix after taking square root in EM algorithm

Published on 10 Apr 2026 - 16:44

List Question

Why eigenvalues of a symmetric matrix with zero row sum are not affected with this special manipulation?

Quick and elegant explanation of $B^T A B x = 0 \Rightarrow x = 0$ with $A$ symmetric and $\mathcal R(B) = \mathcal R(A)$.

What is the dimension of the vector space consisting of all 3 by 3 symmetric matrices? What is a basis for it?

If $T$ is a symmetric matrix, how do I maximize $|Tx - (Tx \cdot x) x|$, where $x \in S^2$?

The largest eigenvalue of AR(1) matrix

Analyze the symmetric property of positive definite matrices

Sum of positive semidefinite and negative definite matrices

Loewner order in terms of eigenvalues

Symmetric Bilinear Form: index of bilinear = the number of positive eigenvalues

Show that all eigenvalues of this pentadiagonal matrix are double degenerate

Eigenvalues and eigenvectors of a symmetric matrix whose rows and columns sum to $1$

Eigenvalues, orthonormal eigenvectors

Let $A$ symmetric matrix, and $A^2\ne I$.

If the matrix representation of an orthogonal transformation with respect to a basis is an orthogonal matrix, the basis is an orthonormal basis?

Complex matrix after taking square root in EM algorithm

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