Question

Why does finding eigenvalues of a system of differential equations always return the solution?

score 505 · Answer 1 · 2026-04-13 14:08:24

505

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Why does finding eigenvalues of a system of differential equations always return the solution?

Published on 13 Apr 2026 - 14:08

score 1.9k · Answer 2 · 2026-04-15 20:38:11

1.9k

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Given a real polynomial p(x), show that p(λ) is an eigenvalue of p(A)

Published on 15 Apr 2026 - 20:38

score 238 · Answer 3 · 2026-04-15 21:59:13

238

Views

find $\alpha,\beta$ such that $A^{-1}=\alpha A+\beta I$.

Published on 15 Apr 2026 - 21:59

score 924 · Answer 4 · 2026-04-15 03:04:16

924

Views

Eigenvalues of diagonal matrix with two rank-one perturbations

Published on 15 Apr 2026 - 3:04

score 30 · Answer 5 · 2026-04-15 05:03:28

30

Views

Eigenpairs of Normal Matrices

Published on 15 Apr 2026 - 5:03

score 153 · Answer 6 · 2026-04-10 02:17:38

153

Views

Intuition behind Schur's Triangulization

Published on 10 Apr 2026 - 2:17

score 90 · Answer 7 · 2026-04-16 13:20:09

90

Views

For a gradient system $\dot{x}=-\nabla V(x)$, $V$ is $C^2$, prove the eigenvalues of the derivative of the vector field at every fixed point are real

Published on 16 Apr 2026 - 13:20

score 26 · Answer 8 · 2026-04-16 07:13:13

26

Views

Significance of the length of the Perron eigenvector

Published on 16 Apr 2026 - 7:13

score 42 · Answer 9 · 2026-04-12 23:27:14

42

Views

eigenvalues of $N$th transpose matrix

Published on 12 Apr 2026 - 23:27

score 82 · Answer 10 · 2026-04-16 00:19:47

82

Views

If $A+A^t=I$ and $\lambda$ eigenvalue of $A$ then $\lambda=\frac{1}{2}+$ $i\alpha$

Published on 16 Apr 2026 - 0:19

score 119 · Answer 11 · 2026-04-14 07:40:58

119

Views

the absolute value smallnest Eigenvalue estimate of a symmetric matrix

Published on 14 Apr 2026 - 7:40

score 48 · Answer 12 · 2026-04-13 18:43:56

48

Views

Show that the integers $0$, $1$ and $3$ are eigenvalues of $T : L^2[-\pi, \pi] \to L^2[-\pi, \pi]$

Published on 13 Apr 2026 - 18:43

score 119 · Answer 13 · 2026-04-11 03:53:56

119

Views

Eigen decomposition of symmetric block matrix where each block contains same value.

Published on 11 Apr 2026 - 3:53

score 146 · Answer 14 · 2026-03-26 12:51:28

146

Views

Eigenvectors, generalized eigenvectors and stability

Published on 26 Mar 2026 - 12:51

score 98 · Answer 15 · 2026-04-14 09:51:00

98

Views

Show $\|A^t v\|_1 \leq g^t \|v\|_1$ for a matrix $A$ with positive elements and $g>0$ being the largest positve eigenvalue

Published on 14 Apr 2026 - 9:51

List Question

Why does finding eigenvalues of a system of differential equations always return the solution?

Given a real polynomial p(x), show that p(λ) is an eigenvalue of p(A)

find $\alpha,\beta$ such that $A^{-1}=\alpha A+\beta I$.

Eigenvalues of diagonal matrix with two rank-one perturbations

Eigenpairs of Normal Matrices

Intuition behind Schur's Triangulization

For a gradient system $\dot{x}=-\nabla V(x)$, $V$ is $C^2$, prove the eigenvalues of the derivative of the vector field at every fixed point are real

Significance of the length of the Perron eigenvector

eigenvalues of $N$th transpose matrix

If $A+A^t=I$ and $\lambda$ eigenvalue of $A$ then $\lambda=\frac{1}{2}+$ $i\alpha$

the absolute value smallnest Eigenvalue estimate of a symmetric matrix

Show that the integers $0$, $1$ and $3$ are eigenvalues of $T : L^2[-\pi, \pi] \to L^2[-\pi, \pi]$

Eigen decomposition of symmetric block matrix where each block contains same value.

Eigenvectors, generalized eigenvectors and stability

Show $\|A^t v\|_1 \leq g^t \|v\|_1$ for a matrix $A$ with positive elements and $g>0$ being the largest positve eigenvalue

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