Question

Let $A$ be an upper triangular matrix, show that: $A$ has full rank $\Leftrightarrow$ all numbers on the diagonal $\ne 0$

score 1.1k · Answer 1 · 2026-03-28 14:05:25

1.1k

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Let $A$ be an upper triangular matrix, show that: $A$ has full rank $\Leftrightarrow$ all numbers on the diagonal $\ne 0$

Published on 28 Mar 2026 - 14:05

score 87 · Answer 2 · 2019-12-15 04:22:03

87

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Linear Independent Eigenvectors and Generalized Eigenvectors

Published on 15 Dec 2019 - 4:22

score 1.2k · Answer 3 · 2026-03-25 09:48:53

1.2k

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Diagonalization of very large (but very simple) sparse matrix

Published on 25 Mar 2026 - 9:48

score 650 · Answer 4 · 2019-12-17 18:59:10

650

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Diagonalizability of $f$ depends on $f \circ f$

Published on 17 Dec 2019 - 18:59

score 567 · Answer 5 · 2026-03-26 16:57:33

567

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Diagonalization of Matrix Exponential

Published on 26 Mar 2026 - 16:57

score 137 · Answer 6 · 2019-12-24 21:20:42

137

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$n$-th power of a complex non-diagonalizable $2 \times 2$ matrix

Published on 24 Dec 2019 - 21:20

score 207 · Answer 7 · 2019-12-25 12:43:14

207

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$A$ is diagonalizable over $F$ if and only if the minimal polynomial of $A$ splits over $F$

Published on 25 Dec 2019 - 12:43

score 944 · Answer 8 · 2019-12-27 01:01:08

944

Views

Diagonalizable random matrix

Published on 27 Dec 2019 - 1:01

score 301 · Answer 9 · 2026-03-28 06:22:49

301

Views

A necessary and sufficient condition for two matrices to be "diagonalized" at the same time

Published on 28 Mar 2026 - 6:22

score 116 · Answer 10 · 2019-12-30 12:19:51

116

Views

Problem of characteristic and minimal polynomials.

Published on 30 Dec 2019 - 12:19

score 482 · Answer 11 · 2019-12-30 13:32:43

482

Views

Find value of parameter so that a matrix with real elements has two different eigenvalues.

Published on 30 Dec 2019 - 13:32

score 2.5k · Answer 12 · 2019-12-30 22:19:48

2.5k

Views

Eigendecomposition and Diagonalization of a matrix.

Published on 30 Dec 2019 - 22:19

score 1k · Answer 13 · 2026-03-25 14:24:44

1k

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Simultaneously diagonalizing two $3\times 3$ commuting Hermitian matrices.

Published on 25 Mar 2026 - 14:24

score 46 · Answer 14 · 2026-03-25 14:24:46

46

Views

Are all Hermitian matrices beyond complex diagonalizable?

Published on 25 Mar 2026 - 14:24

score 33 · Answer 15 · 2020-01-05 20:07:28

33

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Determain the eigenvalores of $A$, the eigenspacies and say if it´s diagonalizable or not.

Published on 05 Jan 2020 - 20:07

List Question

Let $A$ be an upper triangular matrix, show that: $A$ has full rank $\Leftrightarrow$ all numbers on the diagonal $\ne 0$

Linear Independent Eigenvectors and Generalized Eigenvectors

Diagonalization of very large (but very simple) sparse matrix

Diagonalizability of $f$ depends on $f \circ f$

Diagonalization of Matrix Exponential

$n$-th power of a complex non-diagonalizable $2 \times 2$ matrix

$A$ is diagonalizable over $F$ if and only if the minimal polynomial of $A$ splits over $F$

Diagonalizable random matrix

A necessary and sufficient condition for two matrices to be "diagonalized" at the same time

Problem of characteristic and minimal polynomials.

Find value of parameter so that a matrix with real elements has two different eigenvalues.

Eigendecomposition and Diagonalization of a matrix.

Simultaneously diagonalizing two $3\times 3$ commuting Hermitian matrices.

Are all Hermitian matrices beyond complex diagonalizable?

Determain the eigenvalores of $A$, the eigenspacies and say if it´s diagonalizable or not.

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