Question

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

score 416 · Answer 1 · 2026-03-22 18:21:25

416

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

Published on 22 Mar 2026 - 18:21

score 101 · Answer 2 · 2018-06-06 07:59:54

101

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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 06 Jun 2018 - 7:59

score 17k · Answer 3 · 2018-06-09 11:16:39

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 09 Jun 2018 - 11:16

score 50 · Answer 4 · 2018-06-09 14:49:08

50

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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 09 Jun 2018 - 14:49

score 875 · Answer 5 · 2026-03-23 14:04:55

875

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The largest eigenvalue of AR(1) matrix

Published on 23 Mar 2026 - 14:04

score 2.1k · Answer 6 · 2026-03-25 09:39:40

2.1k

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Analyze the symmetric property of positive definite matrices

Published on 25 Mar 2026 - 9:39

score 1.3k · Answer 7 · 2026-03-24 23:45:15

1.3k

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Sum of positive semidefinite and negative definite matrices

Published on 24 Mar 2026 - 23:45

score 1.6k · Answer 8 · 2026-03-25 17:18:44

1.6k

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Loewner order in terms of eigenvalues

Published on 25 Mar 2026 - 17:18

score 333 · Answer 9 · 2018-06-18 22:37:28

333

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

Published on 18 Jun 2018 - 22:37

score 256 · Answer 10 · 2026-03-25 14:22:48

256

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Show that all eigenvalues of this pentadiagonal matrix are double degenerate

Published on 25 Mar 2026 - 14:22

score 704 · Answer 11 · 2018-06-22 09:42:37

704

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

Published on 22 Jun 2018 - 9:42

score 13.3k · Answer 12 · 2026-03-25 12:47:22

13.3k

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Eigenvalues, orthonormal eigenvectors

Published on 25 Mar 2026 - 12:47

score 214 · Answer 13 · 2018-06-24 12:19:07

214

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

Published on 24 Jun 2018 - 12:19

score 428 · Answer 14 · 2018-06-24 17:38:18

428

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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 24 Jun 2018 - 17:38

score 321 · Answer 15 · 2026-03-25 12:47:33

321

Views

Complex matrix after taking square root in EM algorithm

Published on 25 Mar 2026 - 12:47

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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