List questions from eigenvalues-eigenvectors

Published on 13 Apr 2026 - 10:21

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left eigenvector and similarity matrix of Jordan canonical form

Published on 29 Mar 2026 - 8:44

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Eigenvalues of a matrix whose square equals its transpose

Published on 13 Apr 2026 - 15:44

535

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Prove that if $v$ is an eigenvector, then $A^2v=c^2v$

Published on 13 Apr 2026 - 12:09

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Linear operator $A$ on a finite -dimensional vector space

Published on 13 Apr 2026 - 2:44

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Finding the transformation matrix $T$ so $T^{-1}AT$ will be diagonal

Published on 10 Apr 2026 - 18:00

216

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Eigenvalues and orthogonality in hermitian

Published on 07 Apr 2026 - 20:57

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If $A$ is real skew-symmetry. $I-A$ and $I+A$ are nonsingular

Published on 05 Nov 2014 - 23:28

325

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Finding eigenvalues for second equilibrium

Published on 12 Apr 2026 - 15:12

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Relationship between the eigenvalues of $A^T A$ and the maximum eigenvalue of $A$

Published on 11 Apr 2026 - 22:37

139

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Computing a few eigenvalues of large sparse nonsymmetric matrix without LU factorisation

Published on 12 Apr 2026 - 21:37

6.5k

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Stability of Linear Systems

Published on 08 Apr 2026 - 17:40

254

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Stability based on phase portrait

Published on 12 Apr 2026 - 14:49

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$A$ be $n \times n$ Hermitian matrix with $A^5+A^3+A=3I_n$ $implies$ $A=I_n$ ?

Published on 09 Nov 2014 - 14:48

42

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$T:\mathbb C^n \to \mathbb C^n$ is linear and $\ker(T-aI)=\ker(T-aI)^n , \forall a\in \mathbb C$ , then $T$ diagonalizable ?

Published on 09 Nov 2014 - 15:25

List Question

Eigenvectors of the square of the matrix

left eigenvector and similarity matrix of Jordan canonical form

Eigenvalues of a matrix whose square equals its transpose

Prove that if $v$ is an eigenvector, then $A^2v=c^2v$

Linear operator $A$ on a finite -dimensional vector space

Finding the transformation matrix $T$ so $T^{-1}AT$ will be diagonal

Eigenvalues and orthogonality in hermitian

If $A$ is real skew-symmetry. $I-A$ and $I+A$ are nonsingular

Finding eigenvalues for second equilibrium

Relationship between the eigenvalues of $A^T A$ and the maximum eigenvalue of $A$

Computing a few eigenvalues of large sparse nonsymmetric matrix without LU factorisation

Stability of Linear Systems

Stability based on phase portrait

$A$ be $n \times n$ Hermitian matrix with $A^5+A^3+A=3I_n$ $implies$ $A=I_n$ ?

$T:\mathbb C^n \to \mathbb C^n$ is linear and $\ker(T-aI)=\ker(T-aI)^n , \forall a\in \mathbb C$ , then $T$ diagonalizable ?

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