Question

Do $A$ and $WAY$ have same singular values and or rank if $W$ and $Y$ are not orthogonal but nonsingular.

score 299 · Answer 1 · 2021-10-04 12:19:15

299

Views

Do $A$ and $WAY$ have same singular values and or rank if $W$ and $Y$ are not orthogonal but nonsingular.

Published on 04 Oct 2021 - 12:19

score 124 · Answer 2 · 2021-10-04 21:59:03

124

Views

Let $A\in\mathbb R^{n\times n}$ be symmetric but indefinite. Determine an SVD of $A$.

Published on 04 Oct 2021 - 21:59

score 182 · Answer 3 · 2021-10-06 12:50:52

182

Views

Characterize all solutions of the matrix equation $AX=B$ in terms of the SVD $A = U\Sigma V^T$.

Published on 06 Oct 2021 - 12:50

score 237 · Answer 4 · 2021-10-12 05:26:47

237

Views

Singular Value Decomposition of a $2\times2$ diagonal matrix

Published on 12 Oct 2021 - 5:26

score 276 · Answer 5 · 2021-10-17 11:41:36

276

Views

Can every operator on a finite-dimensional vector space be diagonalised?

Published on 17 Oct 2021 - 11:41

score 57 · Answer 6 · 2021-10-18 13:07:45

57

Views

Finding some $\textbf{x}$ that maximises $\left\|\textbf{A}\textbf{x}\right\|_2$

Published on 18 Oct 2021 - 13:07

score 244 · Answer 7 · 2021-10-22 08:43:22

244

Views

What is the SVD of $ab^T + ba^T$

Published on 22 Oct 2021 - 8:43

score 450 · Answer 8 · 2026-02-23 13:40:59

450

Views

eigenvalues of outer product matrix.

Published on 23 Feb 2026 - 13:40

score 98 · Answer 9 · 2026-03-31 05:42:39

98

Views

Verify that if $A\in\mathbb R^{m\times n}_n$, then $A^+ = R^{-1}Q_1^T$.

Published on 31 Mar 2026 - 5:42

score 73 · Answer 10 · 2021-10-30 07:36:04

73

Views

What can we tell about the difference between two eigenvalues in symmetric matrix?

Published on 30 Oct 2021 - 7:36

score 65 · Answer 11 · 2021-10-31 03:36:44

65

Views

Find solutions to linear least square problem.

Published on 31 Oct 2021 - 3:36

score 52 · Answer 12 · 2021-10-31 05:59:00

52

Views

how the singular value decomposition of A can be used to solve the system of linear equations

Published on 31 Oct 2021 - 5:59

score 124 · Answer 13 · 2026-03-29 07:21:14

124

Views

Block-diagonal forms and SVD(singular value decomposition)

Published on 29 Mar 2026 - 7:21

score 48 · Answer 14 · 2026-03-28 03:33:20

48

Views

What is the geometric interpretation of the normal equations $\mathbf{N}={{\mathbf{A}}^{T}}\mathbf{A}$ matrix when the columns of A are orthogonal?

Published on 28 Mar 2026 - 3:33

score 30 · Answer 15 · 2021-11-12 09:50:14

30

Views

Any way to determine the dimension of matrix given the norm of applied vector?

Published on 12 Nov 2021 - 9:50

List Question

Do $A$ and $WAY$ have same singular values and or rank if $W$ and $Y$ are not orthogonal but nonsingular.

Let $A\in\mathbb R^{n\times n}$ be symmetric but indefinite. Determine an SVD of $A$.

Characterize all solutions of the matrix equation $AX=B$ in terms of the SVD $A = U\Sigma V^T$.

Singular Value Decomposition of a $2\times2$ diagonal matrix

Can every operator on a finite-dimensional vector space be diagonalised?

Finding some $\textbf{x}$ that maximises $\left\|\textbf{A}\textbf{x}\right\|_2$

What is the SVD of $ab^T + ba^T$

eigenvalues of outer product matrix.

Verify that if $A\in\mathbb R^{m\times n}_n$, then $A^+ = R^{-1}Q_1^T$.

What can we tell about the difference between two eigenvalues in symmetric matrix?

Find solutions to linear least square problem.

how the singular value decomposition of A can be used to solve the system of linear equations

Block-diagonal forms and SVD(singular value decomposition)

What is the geometric interpretation of the normal equations $\mathbf{N}={{\mathbf{A}}^{T}}\mathbf{A}$ matrix when the columns of A are orthogonal?

Any way to determine the dimension of matrix given the norm of applied vector?

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