Question

Could we tell whether two matrices are congruent only by its eigenvalues? if not, How many conditions do we need?

score 61 · Answer 1 · 2026-02-23 04:56:31

61

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Could we tell whether two matrices are congruent only by its eigenvalues? if not, How many conditions do we need?

Published on 23 Feb 2026 - 4:56

score 60 · Answer 2 · 2026-03-25 09:48:18

60

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Every complex square matrix is unitarily similar to a lower triangular matrix?

Published on 25 Mar 2026 - 9:48

score 44 · Answer 3 · 2022-11-06 11:44:28

44

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Similarity of Jordan cannonical forms

Published on 06 Nov 2022 - 11:44

score 67 · Answer 4 · 2022-11-16 03:05:00

67

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quotient space of similar matrices is not Hausdorff?

Published on 16 Nov 2022 - 3:05

score 35 · Answer 5 · 2022-11-26 14:23:52

35

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Let $T : \mathbb C^2 \to \mathbb C^2 $ such that $T^2 = T \circ T = 0$. Show that: a)$Im(T) \subseteq Ker(T)$...

Published on 26 Nov 2022 - 14:23

score 44 · Answer 6 · 2022-11-30 23:07:31

44

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How can I derive this bound for the spectral radius of $A$?

Published on 30 Nov 2022 - 23:07

score 170 · Answer 7 · 2022-12-03 08:18:12

170

Views

Range space of Similar matrices

Published on 03 Dec 2022 - 8:18

score 56 · Answer 8 · 2022-12-07 13:53:03

56

Views

Compute $PSP^{-1} y$ without computing matrix inverse

Published on 07 Dec 2022 - 13:53

score 78 · Answer 9 · 2022-12-10 13:08:43

78

Views

Simultaneous similarity of two complex matrices and their hermitian conjugates implies their unitary similarity

Published on 10 Dec 2022 - 13:08

score 88 · Answer 10 · 2022-12-24 11:33:07

88

Views

Exercise 4, Section 6.3 of Hoffman’s Linear Algebra

Published on 24 Dec 2022 - 11:33

score 120 · Answer 11 · 2023-01-01 12:33:10

120

Views

Linear algebra — similarity of reflection matrices

Published on 01 Jan 2023 - 12:33

score 97 · Answer 12 · 2023-01-05 12:46:52

97

Views

Similarity of $3\times 3$ matrices

Published on 05 Jan 2023 - 12:46

score 154 · Answer 13 · 2023-01-12 09:12:41

154

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Prove a non-invertible matrix $A$ is similar to certain matrices

Published on 12 Jan 2023 - 9:12

score 275 · Answer 14 · 2023-01-18 13:57:21

275

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What is the number of equivalence classes of $n\times n$ similar matrices over $\mathbb{Z}/p$?

Published on 18 Jan 2023 - 13:57

score 85 · Answer 15 · 2023-01-27 16:03:42

85

Views

If $A,B \in M(\mathbb C)$ are two invertible $2 \times 2$ matrices such that $ABA^{-1} = B^5$, then all the eigenvalues of $B$ are 24th roots of unity

Published on 27 Jan 2023 - 16:03

List Question

Could we tell whether two matrices are congruent only by its eigenvalues? if not, How many conditions do we need?

Every complex square matrix is unitarily similar to a lower triangular matrix?

Similarity of Jordan cannonical forms

quotient space of similar matrices is not Hausdorff?

Let $T : \mathbb C^2 \to \mathbb C^2 $ such that $T^2 = T \circ T = 0$. Show that: a)$Im(T) \subseteq Ker(T)$...

How can I derive this bound for the spectral radius of $A$?

Range space of Similar matrices

Compute $PSP^{-1} y$ without computing matrix inverse

Simultaneous similarity of two complex matrices and their hermitian conjugates implies their unitary similarity

Exercise 4, Section 6.3 of Hoffman’s Linear Algebra

Linear algebra — similarity of reflection matrices

Similarity of $3\times 3$ matrices

Prove a non-invertible matrix $A$ is similar to certain matrices

What is the number of equivalence classes of $n\times n$ similar matrices over $\mathbb{Z}/p$?

If $A,B \in M(\mathbb C)$ are two invertible $2 \times 2$ matrices such that $ABA^{-1} = B^5$, then all the eigenvalues of $B$ are 24th roots of unity

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