Question

If $A=M^{-1}A^tM$ for some $M>0$, then there exists an invertible matrix $P$ such that $P^{t}MP=I$ and $P^{-1}AP$ is diagonal.

score 69 · Answer 1 · 2026-03-29 18:37:26

69

Views

If $A=M^{-1}A^tM$ for some $M>0$, then there exists an invertible matrix $P$ such that $P^{t}MP=I$ and $P^{-1}AP$ is diagonal.

Published on 29 Mar 2026 - 18:37

score 78 · Answer 2 · 2026-03-25 10:15:35

78

Views

Diagonalization of a block matrix with (almost) Toeplitz blocks

Published on 25 Mar 2026 - 10:15

score 64 · Answer 3 · 2023-10-30 08:25:26

64

Views

Wave equation, PDE Course

Published on 30 Oct 2023 - 8:25

score 85 · Answer 4 · 2023-11-04 12:47:16

85

Views

Prove this theorem from linear algebra.

Published on 04 Nov 2023 - 12:47

score 59 · Answer 5 · 2026-03-27 03:49:51

59

Views

How to use the minimal polynomial theorem for this block matrix

Published on 27 Mar 2026 - 3:49

score 104 · Answer 6 · 2023-11-06 17:37:42

104

Views

What is the fundamental property of the Fourier operator?

Published on 06 Nov 2023 - 17:37

score 80 · Answer 7 · 2023-11-09 22:34:38

80

Views

Can we always off diagonalize matrices with purely imaginary eigenvalues?

Published on 09 Nov 2023 - 22:34

score 79 · Answer 8 · 2023-11-11 18:35:17

79

Views

Diagonalize the matrix $A$ or explain why it can't be diagonalized where $\lambda=1$

Published on 11 Nov 2023 - 18:35

score 52 · Answer 9 · 2023-11-11 21:34:18

52

Views

What does it mean for a linear operator to have eigenvectors but not be diagonalizable?

Published on 11 Nov 2023 - 21:34

score 52 · Answer 10 · 2023-11-23 10:59:26

52

Views

If minimal polynomial of a matrix A is irreducible, is A diagonalizable?

Published on 23 Nov 2023 - 10:59

score 178 · Answer 11 · 2026-03-26 19:05:21

178

Views

If $ A $ and $ A^T $ commute, do they share the same eigenvectors when they are not diagonalizable?

Published on 26 Mar 2026 - 19:05

score 52 · Answer 12 · 2023-11-27 14:51:32

52

Views

Eigenvalues, Eigenvectors and Diagonalisation of Matrix A

Published on 27 Nov 2023 - 14:51

score 208 · Answer 13 · 2023-11-28 11:10:49

208

Views

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Published on 28 Nov 2023 - 11:10

score 47 · Answer 14 · 2023-11-28 11:13:22

47

Views

Are all eigenvectors of a symmetric matrix $\breve{K}$ given by the eigenvectors of $\breve{K}^2$?

Published on 28 Nov 2023 - 11:13

score 49 · Answer 15 · 2023-11-29 12:59:04

49

Views

How to compute the eigenpairs of a real symmetric matrix extended with one row/column pair in the most effective way?

Published on 29 Nov 2023 - 12:59

List Question

If $A=M^{-1}A^tM$ for some $M>0$, then there exists an invertible matrix $P$ such that $P^{t}MP=I$ and $P^{-1}AP$ is diagonal.

Diagonalization of a block matrix with (almost) Toeplitz blocks

Wave equation, PDE Course

Prove this theorem from linear algebra.

How to use the minimal polynomial theorem for this block matrix

What is the fundamental property of the Fourier operator?

Can we always off diagonalize matrices with purely imaginary eigenvalues?

Diagonalize the matrix $A$ or explain why it can't be diagonalized where $\lambda=1$

What does it mean for a linear operator to have eigenvectors but not be diagonalizable?

If minimal polynomial of a matrix A is irreducible, is A diagonalizable?

If $ A $ and $ A^T $ commute, do they share the same eigenvectors when they are not diagonalizable?

Eigenvalues, Eigenvectors and Diagonalisation of Matrix A

Diagonalization and Homomorphism

Are all eigenvectors of a symmetric matrix $\breve{K}$ given by the eigenvectors of $\breve{K}^2$?

How to compute the eigenpairs of a real symmetric matrix extended with one row/column pair in the most effective way?

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