Question

Determining a $4\times4$ matrix knowing $3$ of its $4$ eigenvectors and eigenvalues

score 161 · Answer 1 · 2026-03-17 19:13:51

161

Views

Determining a $4\times4$ matrix knowing $3$ of its $4$ eigenvectors and eigenvalues

Published on 17 Mar 2026 - 19:13

score 250 · Answer 2 · 2026-03-20 03:53:47

250

Views

Show that $A^m=I_n$ is diagonalizable

Published on 20 Mar 2026 - 3:53

score 1k · Answer 3 · 2026-03-22 11:59:09

1k

Views

Simultaneous diagonalization on more than two matrices

Published on 22 Mar 2026 - 11:59

score 96 · Answer 4 · 2026-03-22 08:45:35

96

Views

Diagonalization and change of basis

Published on 22 Mar 2026 - 8:45

score 527 · Answer 5 · 2026-03-22 20:06:08

527

Views

Is this $3 \times 3$ matrix diagonalizable?

Published on 22 Mar 2026 - 20:06

score 105 · Answer 6 · 2026-03-20 08:54:18

105

Views

Matrix $A\in \mathbb{R}^{4\times4}$ has eigenvectors $\bf{u_1,u_2,u_3,u_4}$ satisfying $\bf{Au_1=5u_1,Au_2=9u_2}$ & $\bf{Au_3=20u_3}$. Find $A\bf{w}$.

Published on 20 Mar 2026 - 8:54

score 90 · Answer 7 · 2026-03-22 09:43:57

90

Views

Block diagonalizing a Hermitian matrix

Published on 22 Mar 2026 - 9:43

score 53 · Answer 8 · 2026-03-20 12:04:23

53

Views

undiagonizable matrix and annhilating polynom claims

Published on 20 Mar 2026 - 12:04

score 412 · Answer 9 · 2026-03-20 15:21:18

412

Views

Show that if $\lambda$ is an eigenvalue of matrix $A$ and $B$, then it is an eigenvalue of $B^{-1}AB$

Published on 20 Mar 2026 - 15:21

score 258 · Answer 10 · 2026-03-22 07:22:49

258

Views

Is a complex symmetric square matrix with zero diagonal diagonalizable?

Published on 22 Mar 2026 - 7:22

score 1.4k · Answer 11 · 2026-03-24 07:17:56

1.4k

Views

Let $A$ be a diagonalizable real matrix such as $A^3=A$. Prove that $\mbox{rank}(A) = \mbox{tr}(A^2)$

Published on 24 Mar 2026 - 7:17

score 78 · Answer 12 · 2026-03-18 11:25:34

78

Views

$A\in R^{n\times n}$ is diagonalizable. Prove that $A^2+3I$ is invertible

Published on 18 Mar 2026 - 11:25

score 99 · Answer 13 · 2026-03-18 06:26:45

99

Views

Is T diagonalizable for $V=\mathbb{R^2}$ ? For $V=\mathbb{C^2}$

Published on 18 Mar 2026 - 6:26

score 268 · Answer 14 · 2026-03-19 18:01:26

268

Views

For a non-diagonalizable $n \times n$ matrix, how to prove that $\exists (A_m)$ is diagonalizable matrix such that $A_m$ converges to $A$.

Published on 19 Mar 2026 - 18:01

score 428 · Answer 15 · 2026-03-18 06:37:40

428

Views

Spectrum of non-diagonalizable matrices

Published on 18 Mar 2026 - 6:37

List Question

Determining a $4\times4$ matrix knowing $3$ of its $4$ eigenvectors and eigenvalues

Show that $A^m=I_n$ is diagonalizable

Simultaneous diagonalization on more than two matrices

Diagonalization and change of basis

Is this $3 \times 3$ matrix diagonalizable?

Matrix $A\in \mathbb{R}^{4\times4}$ has eigenvectors $\bf{u_1,u_2,u_3,u_4}$ satisfying $\bf{Au_1=5u_1,Au_2=9u_2}$ & $\bf{Au_3=20u_3}$. Find $A\bf{w}$.

Block diagonalizing a Hermitian matrix

undiagonizable matrix and annhilating polynom claims

Show that if $\lambda$ is an eigenvalue of matrix $A$ and $B$, then it is an eigenvalue of $B^{-1}AB$

Is a complex symmetric square matrix with zero diagonal diagonalizable?

Let $A$ be a diagonalizable real matrix such as $A^3=A$. Prove that $\mbox{rank}(A) = \mbox{tr}(A^2)$

$A\in R^{n\times n}$ is diagonalizable. Prove that $A^2+3I$ is invertible

Is T diagonalizable for $V=\mathbb{R^2}$ ? For $V=\mathbb{C^2}$

For a non-diagonalizable $n \times n$ matrix, how to prove that $\exists (A_m)$ is diagonalizable matrix such that $A_m$ converges to $A$.

Spectrum of non-diagonalizable matrices

Trending Questions

Popular # Hahtags

Popular Questions