List questions from diagonalization

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Prove that if matrix $~A^2 = I~$, then $~A~$ is diagonalizable.

Published on 02 Apr 2013 - 10:17

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Prove that similar matrices have the same geometric multiplicity

Published on 02 Apr 2013 - 17:52

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Square root of Positive Definite Matrix

Published on 03 Apr 2013 - 3:03

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Block diagonal matrix diagonalizable

Published on 27 Mar 2026 - 14:57

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Principal axes of a matrix

Published on 09 Apr 2013 - 20:59

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Determinants and diagonalizability

Published on 10 Apr 2013 - 2:17

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Finding $A^n$ in terms of $P$ and $D$ (diagonalized)

Published on 11 Apr 2013 - 2:46

282

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Condition of the eigenvalue problem

Published on 11 Apr 2013 - 19:26

82

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Nondiagonal $3 \times 3$ matrix

Published on 11 Apr 2013 - 23:15

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Prove that Hermitian matrices are diagonalizable

Published on 26 Mar 2026 - 11:06

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How to prove that the corresponding matrix is unitary

Published on 16 Apr 2013 - 14:45

227

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Let $A$ be the matrix of eigenvectors of an Hermitian $H$. Prove that $HA=AB$ with $B$ diagonal matrix with the eigenvalues of $H$

Published on 20 Apr 2013 - 18:38

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Proofs regarding diagonalization of matrices

Published on 22 Apr 2013 - 21:41

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diagonalisability of matrix few properties

Published on 25 Apr 2013 - 10:14

List Question

Jordan basis of $A$ when $A$ is the companion matrix?

Prove that if matrix $~A^2 = I~$, then $~A~$ is diagonalizable.

Prove that similar matrices have the same geometric multiplicity

Square root of Positive Definite Matrix

Block diagonal matrix diagonalizable

Principal axes of a matrix

Determinants and diagonalizability

Finding $A^n$ in terms of $P$ and $D$ (diagonalized)

Condition of the eigenvalue problem

Nondiagonal $3 \times 3$ matrix

Prove that Hermitian matrices are diagonalizable

How to prove that the corresponding matrix is unitary

Let $A$ be the matrix of eigenvectors of an Hermitian $H$. Prove that $HA=AB$ with $B$ diagonal matrix with the eigenvalues of $H$

Proofs regarding diagonalization of matrices

diagonalisability of matrix few properties

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