Question

Show that if $A\in S_n^{++}(\Bbb R)$ and $B \in A_n(\Bbb R)$ therefore $AB$ is diagonalizable in $\Bbb M_n(\Bbb C)$.

score 80 · Answer 1 · 2021-01-06 14:31:01

80

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Show that if $A\in S_n^{++}(\Bbb R)$ and $B \in A_n(\Bbb R)$ therefore $AB$ is diagonalizable in $\Bbb M_n(\Bbb C)$.

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score 108 · Answer 2 · 2021-01-06 15:20:30

108

Views

Doubt in chapter $6.8$ of Hoffman and Kunze.

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score 78 · Answer 3 · 2021-01-07 08:49:36

78

Views

Why is this diagonal matrix not possible over the reals

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score 517 · Answer 4 · 2026-03-28 20:03:26

517

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score 193 · Answer 5 · 2021-01-16 02:18:44

193

Views

Are all diagonalizaitions necessarily eigendecompositions?

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score 76 · Answer 6 · 2021-01-16 06:56:42

76

Views

Proving diagonalizability

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score 72 · Answer 7 · 2026-03-25 16:06:04

72

Views

Understanding why this linear operator is diagonalizable.

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score 49 · Answer 8 · 2021-01-21 17:44:27

49

Views

Find $f$ such as its eigenvector associated to a given eigenvalue $-2$ is $v=(-1,1,1)$

Published on 21 Jan 2021 - 17:44

score 51 · Answer 9 · 2026-03-26 22:51:47

51

Views

Numerical radius of diagonal matrix.

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65

Views

Diagonalization of matrix and how to use it

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score 112 · Answer 11 · 2021-02-01 08:12:48

112

Views

Diagonalizing a matrix where the pairwise difference of eigenvalues are units

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score 123 · Answer 12 · 2026-03-30 04:56:44

123

Views

A basis such that the bilinear form $\phi$ is diagonal, but the operator $T$ is not

Published on 30 Mar 2026 - 4:56

score 70 · Answer 13 · 2021-02-03 14:09:19

70

Views

If $\rho(A) = \rho(B)$ and $\rho(A^2) = \rho(B^2)$ then $A$ is similar to $B$

Published on 03 Feb 2021 - 14:09

score 174 · Answer 14 · 2021-02-04 00:44:13

174

Views

Is this $3 \times 3$ matrix with $2$ eigenvalues diagonalizable

Published on 04 Feb 2021 - 0:44

score 332 · Answer 15 · 2026-03-25 19:51:34

332

Views

What is the name of the theorem of tridiagonal reduction of symmetric matrices?

Published on 25 Mar 2026 - 19:51

List Question

Show that if $A\in S_n^{++}(\Bbb R)$ and $B \in A_n(\Bbb R)$ therefore $AB$ is diagonalizable in $\Bbb M_n(\Bbb C)$.

Doubt in chapter $6.8$ of Hoffman and Kunze.

Why is this diagonal matrix not possible over the reals

Diagonalizing a block diagonal matrix

Are all diagonalizaitions necessarily eigendecompositions?

Proving diagonalizability

Understanding why this linear operator is diagonalizable.

Find $f$ such as its eigenvector associated to a given eigenvalue $-2$ is $v=(-1,1,1)$

Numerical radius of diagonal matrix.

Diagonalization of matrix and how to use it

Diagonalizing a matrix where the pairwise difference of eigenvalues are units

A basis such that the bilinear form $\phi$ is diagonal, but the operator $T$ is not

If $\rho(A) = \rho(B)$ and $\rho(A^2) = \rho(B^2)$ then $A$ is similar to $B$

Is this $3 \times 3$ matrix with $2$ eigenvalues diagonalizable

What is the name of the theorem of tridiagonal reduction of symmetric matrices?

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