Question

If $A\in\mathbb C^{n\times n}\!$, $\,f\in\mathbb C[t]$ and $f(A)$ diagonalizable, and $f'(A)$ is invertible, then $A$ is diagonalizble.

score 127 · Answer 1 · 2026-03-27 01:48:09

127

Views

If $A\in\mathbb C^{n\times n}\!$, $\,f\in\mathbb C[t]$ and $f(A)$ diagonalizable, and $f'(A)$ is invertible, then $A$ is diagonalizble.

Published on 27 Mar 2026 - 1:48

score 187 · Answer 2 · 2026-03-27 10:09:06

187

Views

Diagonalization of symmetric matrices

Published on 27 Mar 2026 - 10:09

score 203 · Answer 3 · 2019-05-25 14:25:57

203

Views

Check diagonalizability through the characteristic polynomial

Published on 25 May 2019 - 14:25

score 78 · Answer 4 · 2019-05-26 20:57:16

78

Views

Determinant of diagonal matrix D

Published on 26 May 2019 - 20:57

score 4.7k · Answer 5 · 2019-05-31 23:08:49

4.7k

Views

Diagonalization of a matrix by a rotation matrix

Published on 31 May 2019 - 23:08

score 88 · Answer 6 · 2019-06-05 12:56:54

88

Views

Find eigenvalues of A knowing its trace and the eigenvalues of $A^2+2A$.

Published on 05 Jun 2019 - 12:56

score 290 · Answer 7 · 2019-06-06 20:16:51

290

Views

Finding 3x3 matrix from whose given characteristic polynomial

Published on 06 Jun 2019 - 20:16

score 89 · Answer 8 · 2019-06-07 08:54:48

89

Views

Matrix diagonalization understanding gap

Published on 07 Jun 2019 - 8:54

score 392 · Answer 9 · 2026-03-25 11:10:28

392

Views

How to prove this theorem on diagonalizable operator on finite dimensional Vector space.

Published on 25 Mar 2026 - 11:10

score 315 · Answer 10 · 2019-06-10 08:12:48

315

Views

Is there a unitary diagonalization matrix for $A$?

Published on 10 Jun 2019 - 8:12

score 1.4k · Answer 11 · 2019-06-11 21:17:03

1.4k

Views

Can a non-diagonal $2\times 2$ matrix with just one eigenvalue be diagonalisable?

Published on 11 Jun 2019 - 21:17

score 31 · Answer 12 · 2019-06-13 13:47:04

31

Views

If the multiplication of matrices symmetric matrix, then they can be diagonalized

Published on 13 Jun 2019 - 13:47

score 220 · Answer 13 · 2026-03-26 14:43:15

220

Views

How to sample from a Gaussian process with only diagonal components of the covariance matrix

Published on 26 Mar 2026 - 14:43

score 83 · Answer 14 · 2026-03-27 10:34:17

83

Views

What can I say about the following matrix $A$?

Published on 27 Mar 2026 - 10:34

score 209 · Answer 15 · 2026-03-25 06:01:49

209

Views

How do I know if a matrix is diagonalizable by congruence?

Published on 25 Mar 2026 - 6:01

List Question

If $A\in\mathbb C^{n\times n}\!$, $\,f\in\mathbb C[t]$ and $f(A)$ diagonalizable, and $f'(A)$ is invertible, then $A$ is diagonalizble.

Diagonalization of symmetric matrices

Check diagonalizability through the characteristic polynomial

Determinant of diagonal matrix D

Diagonalization of a matrix by a rotation matrix

Find eigenvalues of A knowing its trace and the eigenvalues of $A^2+2A$.

Finding 3x3 matrix from whose given characteristic polynomial

Matrix diagonalization understanding gap

How to prove this theorem on diagonalizable operator on finite dimensional Vector space.

Is there a unitary diagonalization matrix for $A$?

Can a non-diagonal $2\times 2$ matrix with just one eigenvalue be diagonalisable?

If the multiplication of matrices symmetric matrix, then they can be diagonalized

How to sample from a Gaussian process with only diagonal components of the covariance matrix

What can I say about the following matrix $A$?

How do I know if a matrix is diagonalizable by congruence?

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