Question

$A$ is real matrix and for some $k\geq 2,A^{k}$ is similar to an orthogonal matrix,how to prove $A$ is also similar to an orthogonal matrix?

score 201 · Answer 1 · 2026-04-16 22:26:34

201

Views

$A$ is real matrix and for some $k\geq 2,A^{k}$ is similar to an orthogonal matrix,how to prove $A$ is also similar to an orthogonal matrix?

Published on 16 Apr 2026 - 22:26

score 892 · Answer 2 · 2026-04-17 15:48:27

892

Views

Are all similar Hermitian matrices unitarily similar?

Published on 17 Apr 2026 - 15:48

score 72 · Answer 3 · 2026-04-15 19:13:49

72

Views

when the two matrices are Similar?

Published on 15 Apr 2026 - 19:13

score 28 · Answer 4 · 2026-04-17 01:02:51

28

Views

If $A^n$ is similar to $B^n$ for non-nilpotent real metrices A and B, is A similar to B?

Published on 17 Apr 2026 - 1:02

score 366 · Answer 5 · 2026-04-12 22:29:06

366

Views

Is $A-cI$ nilpotent matrix of index 2?

Published on 12 Apr 2026 - 22:29

score 55 · Answer 6 · 2026-04-16 22:56:40

55

Views

Similar matrices involving the flow of a vector field X

Published on 16 Apr 2026 - 22:56

score 527 · Answer 7 · 2026-04-17 05:27:37

527

Views

Prove the centralizers of 2 similar matrices have the same dimensions.

Published on 17 Apr 2026 - 5:27

score 117 · Answer 8 · 2026-04-17 10:31:29

117

Views

similarity symmetric block-tridiagonal matrix

Published on 17 Apr 2026 - 10:31

score 224 · Answer 9 · 2026-04-11 19:28:58

224

Views

Finding representatives for the distinct conjugacy classes of matrices of finite order in $GL_2(\mathbb{Z}_p)$.

Published on 11 Apr 2026 - 19:28

score 68 · Answer 10 · 2026-04-10 20:27:31

68

Views

similarty anti-tridiagonal?

Published on 10 Apr 2026 - 20:27

score 37 · Answer 11 · 2026-04-20 05:58:52

37

Views

Prove that the matrices $H_\phi^{(n)}$ and $H_\psi^{(n)}$ are similar.

Published on 20 Apr 2026 - 5:58

score 365 · Answer 12 · 2026-04-13 17:08:53

365

Views

Equivalence classes of the similarity relation on complex 2x2 matrices?

Published on 13 Apr 2026 - 17:08

score 43 · Answer 13 · 2026-04-14 17:32:08

43

Views

Given 2 matrices, find T

Published on 14 Apr 2026 - 17:32

score 178 · Answer 14 · 2026-04-16 19:26:39

178

Views

How do I show that $A$ and $A^T$ are similar, given that the minimal polynomial of $A$ splits over $\mathbb{F}$?

Published on 16 Apr 2026 - 19:26

score 61 · Answer 15 · 2026-04-13 22:39:59

61

Views

Given linear map, find nonzero polynomials such that...

Published on 13 Apr 2026 - 22:39

List Question

$A$ is real matrix and for some $k\geq 2,A^{k}$ is similar to an orthogonal matrix,how to prove $A$ is also similar to an orthogonal matrix?

Are all similar Hermitian matrices unitarily similar?

when the two matrices are Similar?

If $A^n$ is similar to $B^n$ for non-nilpotent real metrices A and B, is A similar to B?

Is $A-cI$ nilpotent matrix of index 2?

Similar matrices involving the flow of a vector field X

Prove the centralizers of 2 similar matrices have the same dimensions.

similarity symmetric block-tridiagonal matrix

Finding representatives for the distinct conjugacy classes of matrices of finite order in $GL_2(\mathbb{Z}_p)$.

similarty anti-tridiagonal?

Prove that the matrices $H_\phi^{(n)}$ and $H_\psi^{(n)}$ are similar.

Equivalence classes of the similarity relation on complex 2x2 matrices?

Given 2 matrices, find T

How do I show that $A$ and $A^T$ are similar, given that the minimal polynomial of $A$ splits over $\mathbb{F}$?

Given linear map, find nonzero polynomials such that...

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