Question

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

score 172 · Answer 1 · 2026-05-05 16:18:00

172

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

Published on 05 May 2026 - 16:18

score 258 · Answer 2 · 2026-04-29 12:24:56

258

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Show that $A^m=I_n$ is diagonalizable

Published on 29 Apr 2026 - 12:24

score 1k · Answer 3 · 2026-05-07 07:38:41

1k

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Simultaneous diagonalization on more than two matrices

Published on 07 May 2026 - 7:38

score 107 · Answer 4 · 2026-05-10 10:36:55

107

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Diagonalization and change of basis

Published on 10 May 2026 - 10:36

score 535 · Answer 5 · 2026-04-29 12:10:00

535

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Is this $3 \times 3$ matrix diagonalizable?

Published on 29 Apr 2026 - 12:10

score 110 · Answer 6 · 2026-04-29 12:24:59

110

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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 29 Apr 2026 - 12:24

score 98 · Answer 7 · 2026-04-29 12:09:39

98

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Block diagonalizing a Hermitian matrix

Published on 29 Apr 2026 - 12:09

score 61 · Answer 8 · 2026-04-29 12:25:10

61

Views

undiagonizable matrix and annhilating polynom claims

Published on 29 Apr 2026 - 12:25

score 418 · Answer 9 · 2026-04-29 12:24:58

418

Views

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

Published on 29 Apr 2026 - 12:24

score 265 · Answer 10 · 2026-04-29 12:24:53

265

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Is a complex symmetric square matrix with zero diagonal diagonalizable?

Published on 29 Apr 2026 - 12:24

score 1.4k · Answer 11 · 2026-05-01 01:09:34

1.4k

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

Published on 01 May 2026 - 1:09

score 85 · Answer 12 · 2026-04-29 12:24:58

85

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

Published on 29 Apr 2026 - 12:24

score 108 · Answer 13 · 2026-04-29 12:24:58

108

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

Published on 29 Apr 2026 - 12:24

score 273 · Answer 14 · 2026-05-07 03:58:36

273

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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 07 May 2026 - 3:58

score 436 · Answer 15 · 2026-04-29 12:25:10

436

Views

Spectrum of non-diagonalizable matrices

Published on 29 Apr 2026 - 12:25

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

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