List questions from diagonalization

Published on 01 Dec 2017 - 15:38

46

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Question on Linear Alegbra.

Published on 02 Apr 2026 - 1:20

892

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If $X$ is diagonal with distinct diagonal entries and $XY = YX$ then $Y$ is also diagonal matrix.

Published on 02 Dec 2017 - 14:22

195

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Question about using similarity invariants to tell whether two 4x4 matrices are similar

Published on 05 Dec 2017 - 17:29

31

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Normal matrix over $\mathbb C$ can be diagonalized to an invertible matrix.

Published on 07 Dec 2017 - 2:28

4.4k

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Diagonal matrices - order of eigenvalues, eigenvalues and the resulting diagonal elements?

Published on 08 Dec 2017 - 9:31

221

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Can we define the eigenvectors of $M$ as the columns of a matrix $P$, such that $P \cdot \text{Diagonal}\cdot P^{-1} = M$

Published on 08 Dec 2017 - 22:32

176

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Finding a basis for an eigenspace? Where do the additional vectors come from?

Published on 09 Dec 2017 - 22:07

147

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Simultaneously block diagonalizing two $4\times 4$ matrices?

Published on 10 Dec 2017 - 6:16

275

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Invertible matrix is product of diagonalizable and matrix with eigenvalues 1

Published on 10 Dec 2017 - 17:56

44

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Diagonalisation of symmetric Matrix

Published on 12 Dec 2017 - 6:19

170

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Show that there is a polynomial $p(z)$ of degree at most $k$ such that $e^A = p(A)$.

Published on 25 Mar 2026 - 19:06

56

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diagonalisation argument

Published on 13 Dec 2017 - 8:10

3.8k

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Is $A^2 = A$ diagonalizable?

Published on 14 Dec 2017 - 1:45

79

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Diagonalization of a matrix ${}$

Published on 14 Dec 2017 - 1:49

List Question

Diagonalizing matrix that has variables

Question on Linear Alegbra.

If $X$ is diagonal with distinct diagonal entries and $XY = YX$ then $Y$ is also diagonal matrix.

Question about using similarity invariants to tell whether two 4x4 matrices are similar

Normal matrix over $\mathbb C$ can be diagonalized to an invertible matrix.

Diagonal matrices - order of eigenvalues, eigenvalues and the resulting diagonal elements?

Can we define the eigenvectors of $M$ as the columns of a matrix $P$, such that $P \cdot \text{Diagonal}\cdot P^{-1} = M$

Finding a basis for an eigenspace? Where do the additional vectors come from?

Simultaneously block diagonalizing two $4\times 4$ matrices?

Invertible matrix is product of diagonalizable and matrix with eigenvalues 1

Diagonalisation of symmetric Matrix

Show that there is a polynomial $p(z)$ of degree at most $k$ such that $e^A = p(A)$.

diagonalisation argument

Is $A^2 = A$ diagonalizable?

Diagonalization of a matrix ${}$

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