Question

Fastest way to diagonalize a matrix with a parameter

score 205 · Answer 1 · 2019-08-22 15:25:40

205

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Fastest way to diagonalize a matrix with a parameter

Published on 22 Aug 2019 - 15:25

score 419 · Answer 2 · 2019-08-22 16:31:28

419

Views

Usefulness of Why Eigenvectors Corresponding to Distinct Eigenvalues of Symmetric Matrix are Orthogonal

Published on 22 Aug 2019 - 16:31

score 196 · Answer 3 · 2026-03-26 02:53:58

196

Views

Eigenvalues of a sum of two matrices: $\mathbf{A}+\mathbf{D}$

Published on 26 Mar 2026 - 2:53

score 143 · Answer 4 · 2026-03-25 11:06:25

143

Views

Finding $n$-th power of a $2 \times 2$ matrix with $2$ identical eigenvalues

Published on 25 Mar 2026 - 11:06

score 14 · Answer 5 · 2026-03-28 09:44:15

14

Views

Approximate function by localized eigenvectors of density matrix

Published on 28 Mar 2026 - 9:44

score 615 · Answer 6 · 2026-03-31 12:49:41

615

Views

A confusion on the simplicity of the first eigenvalue

Published on 31 Mar 2026 - 12:49

score 591 · Answer 7 · 2026-04-01 02:05:46

591

Views

(A−λI)x=0 and x≠0 iff det(A−λI)=0: Why [[1,1],[1,1]][[2],[3]] = [[5],[5]] ≠ 0 when det([[1,1],[1,1]]) = 0?

Published on 01 Apr 2026 - 2:05

score 125 · Answer 8 · 2019-08-25 07:48:14

125

Views

Do $A$ and $A^T A$ share an eigenvector?

Published on 25 Aug 2019 - 7:48

score 1k · Answer 9 · 2026-03-25 03:22:50

1k

Views

Are the zero eigenvalues of a Laplacian matrix semi-simple?

Published on 25 Mar 2026 - 3:22

score 496 · Answer 10 · 2019-08-25 11:45:57

496

Views

Question regarding the similarity of an invertible matrix with its inverse .

Published on 25 Aug 2019 - 11:45

score 1k · Answer 11 · 2026-04-01 02:02:54

1k

Views

Which one is correct between "$(Ax=0)$ $\land$ $(x\neq 0)$ $\iff det(A)=0$ " and "$(Ax=0)$ $\land$ $(x\neq 0)$ $\implies det(A)=0$"?

Published on 01 Apr 2026 - 2:02

score 169 · Answer 12 · 2026-03-26 17:13:30

169

Views

Show that the set {$v: v^{T}A v \le 1$} is bounded iff $A$ is a positive definite matrix

Published on 26 Mar 2026 - 17:13

score 73 · Answer 13 · 2026-03-26 19:00:45

73

Views

On $Z (X) = \text{trace}((X^TA_1X)^{-1}X^TA_2X)$

Published on 26 Mar 2026 - 19:00

score 69 · Answer 14 · 2019-08-26 07:52:13

69

Views

Perturbing a given matrix so that the resulting matrix has eigenvalues with positive real parts.

Published on 26 Aug 2019 - 7:52

score 12.5k · Answer 15 · 2019-08-27 08:57:18

12.5k

Views

Does a scalar outside of a matrix have any effect on the eigenvalues?

Published on 27 Aug 2019 - 8:57

List Question

Fastest way to diagonalize a matrix with a parameter

Usefulness of Why Eigenvectors Corresponding to Distinct Eigenvalues of Symmetric Matrix are Orthogonal

Eigenvalues of a sum of two matrices: $\mathbf{A}+\mathbf{D}$

Finding $n$-th power of a $2 \times 2$ matrix with $2$ identical eigenvalues

Approximate function by localized eigenvectors of density matrix

A confusion on the simplicity of the first eigenvalue

(A−λI)x=0 and x≠0 iff det(A−λI)=0: Why [[1,1],[1,1]][[2],[3]] = [[5],[5]] ≠ 0 when det([[1,1],[1,1]]) = 0?

Do $A$ and $A^T A$ share an eigenvector?

Are the zero eigenvalues of a Laplacian matrix semi-simple?

Question regarding the similarity of an invertible matrix with its inverse .

Which one is correct between "$(Ax=0)$ $\land$ $(x\neq 0)$ $\iff det(A)=0$ " and "$(Ax=0)$ $\land$ $(x\neq 0)$ $\implies det(A)=0$"?

Show that the set {$v: v^{T}A v \le 1$} is bounded iff $A$ is a positive definite matrix

On $Z (X) = \text{trace}((X^TA_1X)^{-1}X^TA_2X)$

Perturbing a given matrix so that the resulting matrix has eigenvalues with positive real parts.

Does a scalar outside of a matrix have any effect on the eigenvalues?

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