Question

If A is invertible and orthogonally diagonalizable, is $A^{-1}$ orthogonally diagonalizable as well?

score 6.4k · Answer 1 · 2016-05-01 23:17:44

6.4k

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If A is invertible and orthogonally diagonalizable, is $A^{-1}$ orthogonally diagonalizable as well?

Published on 01 May 2016 - 23:17

score 65 · Answer 2 · 2016-05-02 15:27:27

65

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Spectral Theorem for a Complex Vector Space and corollary

Published on 02 May 2016 - 15:27

score 307 · Answer 3 · 2016-05-03 07:24:01

307

Views

Is there any relatively quick way to diagonalize this matrix with an orthogonal matrix?

Published on 03 May 2016 - 7:24

score 44 · Answer 4 · 2016-05-05 13:10:09

44

Views

Basis which makes TWO linear transformation diagonalised at once

Published on 05 May 2016 - 13:10

score 136 · Answer 5 · 2016-05-07 19:52:24

136

Views

Unitary Complex Matrix

Published on 07 May 2016 - 19:52

score 123 · Answer 6 · 2016-05-08 03:13:21

123

Views

If A has complete distinct eigenvalues and A commutes with M and N, do M and N commute?

Published on 08 May 2016 - 3:13

score 764 · Answer 7 · 2026-03-29 05:11:31

764

Views

Geometric interpretation for eigenvalues and eigenvectors of the cross product's representation as a linear map

Published on 29 Mar 2026 - 5:11

score 304 · Answer 8 · 2016-05-09 04:03:09

304

Views

How does diagonalizing a matrix help with eigenvalue calculation?

Published on 09 May 2016 - 4:03

score 84 · Answer 9 · 2016-05-09 18:09:12

84

Views

I'm having a difficulty solving this linear algebra problem. I would appreciate any help!

Published on 09 May 2016 - 18:09

score 957 · Answer 10 · 2016-05-10 02:48:23

957

Views

Prove there is an orthogonal matrix

Published on 10 May 2016 - 2:48

score 1.5k · Answer 11 · 2016-05-10 04:14:00

1.5k

Views

Is a complex symmetric matrix with positive definite real part diagonalizable?

Published on 10 May 2016 - 4:14

score 481 · Answer 12 · 2016-05-11 19:19:18

481

Views

Is the following matrix diagonalizable?

Published on 11 May 2016 - 19:19

score 656 · Answer 13 · 2026-04-02 11:25:56

656

Views

Rank of square matrix $A$ with $a_{ij}=\lambda_j^{p_i}$, where $p_i$ is an increasing sequence

Published on 02 Apr 2026 - 11:25

score 260 · Answer 14 · 2016-05-13 20:58:00

260

Views

Finding Matrix A from Eigenvalues and Eigenvectors (Diagonalization)

Published on 13 May 2016 - 20:58

score 582 · Answer 15 · 2016-05-14 12:23:15

582

Views

Given two diagonalizable matrices that commute (AB = BA),is AB necessarily diagonalizable?

Published on 14 May 2016 - 12:23

List Question

If A is invertible and orthogonally diagonalizable, is $A^{-1}$ orthogonally diagonalizable as well?

Spectral Theorem for a Complex Vector Space and corollary

Is there any relatively quick way to diagonalize this matrix with an orthogonal matrix?

Basis which makes TWO linear transformation diagonalised at once

Unitary Complex Matrix

If A has complete distinct eigenvalues and A commutes with M and N, do M and N commute?

Geometric interpretation for eigenvalues and eigenvectors of the cross product's representation as a linear map

How does diagonalizing a matrix help with eigenvalue calculation?

I'm having a difficulty solving this linear algebra problem. I would appreciate any help!

Prove there is an orthogonal matrix

Is a complex symmetric matrix with positive definite real part diagonalizable?

Is the following matrix diagonalizable?

Rank of square matrix $A$ with $a_{ij}=\lambda_j^{p_i}$, where $p_i$ is an increasing sequence

Finding Matrix A from Eigenvalues and Eigenvectors (Diagonalization)

Given two diagonalizable matrices that commute (AB = BA),is AB necessarily diagonalizable?

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