Question

Relationship between a diagonalisable matrix and the change of basis matrix

score 74 · Answer 1 · 2022-11-29 01:47:14

74

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Relationship between a diagonalisable matrix and the change of basis matrix

Published on 29 Nov 2022 - 1:47

score 72 · Answer 2 · 2022-11-30 01:32:03

72

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How to evaluate $\lim_{\epsilon \rightarrow 0^+} \epsilon x(\epsilon)$ where $x(\epsilon)$ is the solution of $\mathbf{A}x + \epsilon x = v$

Published on 30 Nov 2022 - 1:32

score 119 · Answer 3 · 2022-12-06 21:22:32

119

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If a hermitian matrix $\Sigma$ satisfy $A \Sigma A^{\dagger}=\Sigma$ where $A$ is unitary, is $\Sigma$ a diagonal matrix?

Published on 06 Dec 2022 - 21:22

score 92 · Answer 4 · 2026-04-02 13:03:59

92

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Singular value decomposition of a matrix and eigendecomposition of the product of this matrix.

Published on 02 Apr 2026 - 13:03

score 109 · Answer 5 · 2022-12-14 12:04:46

109

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What am I doing wrong (matrix diagonalization)?

Published on 14 Dec 2022 - 12:04

score 181 · Answer 6 · 2022-12-16 17:10:03

181

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Prove power method is not guaranteed to converge on non-diagonalizable matrix

Published on 16 Dec 2022 - 17:10

score 103 · Answer 7 · 2022-12-17 12:59:47

103

Views

If $T$ is diagonalizable and $c_1,…,c_k$ are distinct eigenvalues of $T$, then minimal polynomial of $T$ is $(x-c_1)\dotsb (x-c_k)$

Published on 17 Dec 2022 - 12:59

score 110 · Answer 8 · 2026-04-01 17:04:05

110

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Orthogonal diagonalization of Symmetric matrices

Published on 01 Apr 2026 - 17:04

score 33 · Answer 9 · 2022-12-20 10:45:45

33

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Term for diagonalizing matrix into multiple diagonal matrices?

Published on 20 Dec 2022 - 10:45

score 90 · Answer 10 · 2026-03-31 12:55:53

90

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Exercise 4, Section 6.3 of Hoffman’s Linear Algebra

Published on 31 Mar 2026 - 12:55

score 91 · Answer 11 · 2026-03-28 22:31:07

91

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What is the framework in which we can talk about the procedure of Richard's paradox rigorously?

Published on 28 Mar 2026 - 22:31

score 102 · Answer 12 · 2022-12-28 21:16:10

102

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Show that $A= B^3$ has a solution if $A$ is symmetric?

Published on 28 Dec 2022 - 21:16

score 159 · Answer 13 · 2022-12-29 20:07:29

159

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Show that $ A − A^2$ is invertible given $A$'s eigenvalues?

Published on 29 Dec 2022 - 20:07

score 122 · Answer 14 · 2023-01-02 10:53:54

122

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Show that there exist eigenvectors of a matrix, which form a basis of $R^n$?

Published on 02 Jan 2023 - 10:53

score 55 · Answer 15 · 2023-01-03 17:59:53

55

Views

Find the transformation matrices of some vectors in the standard basis?

Published on 03 Jan 2023 - 17:59

List Question

Relationship between a diagonalisable matrix and the change of basis matrix

How to evaluate $\lim_{\epsilon \rightarrow 0^+} \epsilon x(\epsilon)$ where $x(\epsilon)$ is the solution of $\mathbf{A}x + \epsilon x = v$

If a hermitian matrix $\Sigma$ satisfy $A \Sigma A^{\dagger}=\Sigma$ where $A$ is unitary, is $\Sigma$ a diagonal matrix?

Singular value decomposition of a matrix and eigendecomposition of the product of this matrix.

What am I doing wrong (matrix diagonalization)?

Prove power method is not guaranteed to converge on non-diagonalizable matrix

If $T$ is diagonalizable and $c_1,…,c_k$ are distinct eigenvalues of $T$, then minimal polynomial of $T$ is $(x-c_1)\dotsb (x-c_k)$

Orthogonal diagonalization of Symmetric matrices

Term for diagonalizing matrix into multiple diagonal matrices?

Exercise 4, Section 6.3 of Hoffman’s Linear Algebra

What is the framework in which we can talk about the procedure of Richard's paradox rigorously?

Show that $A= B^3$ has a solution if $A$ is symmetric?

Show that $ A − A^2$ is invertible given $A$'s eigenvalues?

Show that there exist eigenvectors of a matrix, which form a basis of $R^n$?

Find the transformation matrices of some vectors in the standard basis?

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