List questions from generalized-eigenvector

Published on 01 Oct 2018 - 2:03

101

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Generalized Eigenspaces Associated to Different Values

Published on 23 Oct 2018 - 20:20

473

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Let $T:V\to V$ be a diagonalizable linear map on a vector space $V$. Does it hold that $T^{}:V^{}\to V^{**}$ is diagonalizable?

Published on 25 Oct 2018 - 14:00

130

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Let $f$ and $g$ be two linear operators, show that eigenvalues of $g$ are of the form $a, a-1, a-2, \ldots, a - (n - 1)$?

Published on 03 Nov 2018 - 21:01

199

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How to find Jordan Basis and Jordan Form

Published on 07 Nov 2018 - 15:03

91

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Find the general solution $\left[\begin{smallmatrix}x \\ y \end{smallmatrix}\right]$

Published on 07 Nov 2018 - 23:49

15

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Finding the general solution of an eigenspace corresponding to a system of equations

Published on 23 Nov 2018 - 10:21

44

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Are they similar matrix

Published on 10 Dec 2018 - 6:19

237

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What is the simplified form of the generalized eigen space when the characteristic polynomial does not split in the given field.

Published on 21 Dec 2018 - 4:55

169

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Finding the Jordan Form of a matrix...

Published on 04 Jan 2019 - 22:47

50

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Trace in a generalized eigenspace

Published on 17 Jan 2019 - 13:22

162

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Proving that the set of generalized eigenvectors spans the space

Published on 30 Jan 2019 - 13:02

64

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Terminology for different types of eigenvalue degeneracy?

Published on 02 Feb 2019 - 23:03

61

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Can I find eigenvalues for $A$ if I know the eigenvalues from $AA^T$

Published on 05 Feb 2019 - 1:48

71

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If $u$ is a generalized eigenvector, then $e^{tA}u = e^{t\lambda}e^{t(A-\lambda I})u$

Published on 10 Feb 2019 - 17:22

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Dual formulations of Generalized Eigenvectors

Generalized Eigenspaces Associated to Different Values

Let $T:V\to V$ be a diagonalizable linear map on a vector space $V$. Does it hold that $T^{}:V^{}\to V^{**}$ is diagonalizable?

Let $f$ and $g$ be two linear operators, show that eigenvalues of $g$ are of the form $a, a-1, a-2, \ldots, a - (n - 1)$?

How to find Jordan Basis and Jordan Form

Find the general solution $\left[\begin{smallmatrix}x \\ y \end{smallmatrix}\right]$

Finding the general solution of an eigenspace corresponding to a system of equations

Are they similar matrix

What is the simplified form of the generalized eigen space when the characteristic polynomial does not split in the given field.

Finding the Jordan Form of a matrix...

Trace in a generalized eigenspace

Proving that the set of generalized eigenvectors spans the space

Terminology for different types of eigenvalue degeneracy?

Can I find eigenvalues for $A$ if I know the eigenvalues from $AA^T$

If $u$ is a generalized eigenvector, then $e^{tA}u = e^{t\lambda}e^{t(A-\lambda I})u$

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