List questions from diagonalization

Published on 12 Jan 2016 - 10:47

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Find a matrix from its eigenvalues and corresponding vectors

Published on 12 Jan 2016 - 20:25

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If $A^2$ is diagonalizable then A is also...

Published on 12 Jan 2016 - 22:56

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If all the eigenvalues of $A$ are distinct, then $B$ can be expressed uniquely as a polynomial in $A$ with degree no more than $n − 1$.

Published on 13 Jan 2016 - 1:46

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$A,B \in GL(n,\mathbb C)$ be two diagonalizable matrices such that $AB=BA$ ; then $\exists p(x) \in P_n(\mathbb C)$ , such that $p(A)=B$ or $p(B)=A$?

Published on 13 Jan 2016 - 12:09

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Minimal polynomial of a $4\times4$ matrix

Published on 15 Jan 2016 - 6:13

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Find a basis in which matrix will be diagonal

Published on 15 Jan 2016 - 23:56

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Is there a simple proof that the matrix is diagonalizable?

Published on 21 Jan 2016 - 11:18

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Diagonalizable matrix is symmetric with respect to a certain inner product

Published on 21 Jan 2016 - 14:43

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Every matrix $A\in M_2(\mathbb{C})$ is similar to one of two forms

Published on 21 Jan 2016 - 20:51

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Invariant sum with diagonalization of a matrix

Published on 25 Jan 2016 - 22:01

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Set of matrices related to simultaneous diagonalization?

Published on 25 Jan 2016 - 22:20

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Hoffman Theorem of Diagonalizable operators

Published on 26 Mar 2026 - 12:38

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Eigenvalues and Eigenvectors

Published on 27 Jan 2016 - 3:49

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What can we say about the eigenvalues and diagonalization of this $2N\times2N$ matrix $A$?

Published on 29 Jan 2016 - 8:00

List Question

Matrix diagonalization depending on the eigenvalues and eigenvectors

Find a matrix from its eigenvalues and corresponding vectors

If $A^2$ is diagonalizable then A is also...

If all the eigenvalues of $A$ are distinct, then $B$ can be expressed uniquely as a polynomial in $A$ with degree no more than $n − 1$.

$A,B \in GL(n,\mathbb C)$ be two diagonalizable matrices such that $AB=BA$ ; then $\exists p(x) \in P_n(\mathbb C)$ , such that $p(A)=B$ or $p(B)=A$?

Minimal polynomial of a $4\times4$ matrix

Find a basis in which matrix will be diagonal

Is there a simple proof that the matrix is diagonalizable?

Diagonalizable matrix is symmetric with respect to a certain inner product

Every matrix $A\in M_2(\mathbb{C})$ is similar to one of two forms

Invariant sum with diagonalization of a matrix

Set of matrices related to simultaneous diagonalization?

Hoffman Theorem of Diagonalizable operators

Eigenvalues and Eigenvectors

What can we say about the eigenvalues and diagonalization of this $2N\times2N$ matrix $A$?

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