Question

What is meant by distinct roots in the characteristic polynomial, in reference to diagonalizing matrices?

score 762 · Answer 1 · 2026-03-24 23:55:11

762

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What is meant by distinct roots in the characteristic polynomial, in reference to diagonalizing matrices?

Published on 24 Mar 2026 - 23:55

score 1.1k · Answer 2 · 2026-03-27 14:56:26

1.1k

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How to find eigenvalue of $\sigma$ and $\sigma^2$

Published on 27 Mar 2026 - 14:56

score 239 · Answer 3 · 2018-03-30 18:00:24

239

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Eigenvalues and Eigenvectors rule

Published on 30 Mar 2018 - 18:00

score 3.4k · Answer 4 · 2026-03-22 19:55:21

3.4k

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Gradient of largest eigenvalue of matrix, with respect to individual elements of the matrix

Published on 22 Mar 2026 - 19:55

score 99 · Answer 5 · 2018-03-30 19:02:16

99

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Eigenvalues: Large Numbers on Diagonal

Published on 30 Mar 2018 - 19:02

score 882 · Answer 6 · 2018-03-30 22:55:09

882

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Counterexample of Rayleigh Quotient Theorem for specific non-Hermitian matrix

Published on 30 Mar 2018 - 22:55

score 96 · Answer 7 · 2018-03-31 03:09:44

96

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Hypothesis Matrix and Eigenvectors

Published on 31 Mar 2018 - 3:09

score 721 · Answer 8 · 2018-03-31 05:56:06

721

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$U$ be the set of all $2×2$ matrices with real entries such that all their eigenvalues belong to $C - R $, and $X = M_2(R)$. Is $U$ open?

Published on 31 Mar 2018 - 5:56

score 259 · Answer 9 · 2026-03-25 01:21:20

259

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Is every linear transformation with at least two eigenvalues decomposable?

Published on 25 Mar 2026 - 1:21

score 1.8k · Answer 10 · 2018-03-31 16:32:18

1.8k

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Does every bounded operator on a complex Hilbert space have an eigenvalue?

Published on 31 Mar 2018 - 16:32

score 216 · Answer 11 · 2018-03-31 17:57:52

216

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Finding Eigenvalues of Large Matrix

Published on 31 Mar 2018 - 17:57

score 997 · Answer 12 · 2026-03-25 04:10:49

997

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Number of distinct equivalence classes under *-congruence and T-congruence

Published on 25 Mar 2026 - 4:10

score 2.5k · Answer 13 · 2018-04-01 00:35:26

2.5k

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Can the sum of the dimension of eigenspaces of a linear operator $A : \mathbb V\to \mathbb V$ exceed dim $V$?

Published on 01 Apr 2018 - 0:35

score 2.4k · Answer 14 · 2026-03-22 19:37:37

2.4k

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Prove symmetries of eigenvalues of symplectic matrices

Published on 22 Mar 2026 - 19:37

score 68 · Answer 15 · 2018-04-03 03:08:37

68

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Finding the eigenvector of a 3x3 matrix

Published on 03 Apr 2018 - 3:08

List Question

What is meant by distinct roots in the characteristic polynomial, in reference to diagonalizing matrices?

How to find eigenvalue of $\sigma$ and $\sigma^2$

Eigenvalues and Eigenvectors rule

Gradient of largest eigenvalue of matrix, with respect to individual elements of the matrix

Eigenvalues: Large Numbers on Diagonal

Counterexample of Rayleigh Quotient Theorem for specific non-Hermitian matrix

Hypothesis Matrix and Eigenvectors

$U$ be the set of all $2×2$ matrices with real entries such that all their eigenvalues belong to $C - R $, and $X = M_2(R)$. Is $U$ open?

Is every linear transformation with at least two eigenvalues decomposable?

Does every bounded operator on a complex Hilbert space have an eigenvalue?

Finding Eigenvalues of Large Matrix

Number of distinct equivalence classes under *-congruence and T-congruence

Can the sum of the dimension of eigenspaces of a linear operator $A : \mathbb V\to \mathbb V$ exceed dim $V$?

Prove symmetries of eigenvalues of symplectic matrices

Finding the eigenvector of a 3x3 matrix

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