Eigenvalue and eigenvector $Av=λv$ , $A^{-1}v=\frac{1}{\lambda}v$
50010
Is this how eigenvalues of some matrix $A$ are related to the inverse of $A$?
149086
Determining $\mbox{tr}(A)$ and $\det(A)$ as functions of the eigenvalues of a matrix
70245
Why is the eigenvector in PCA taken to be unit norm?
100968
Why is $|e^{i \lambda z}| |e^{- \lambda y}|= |e^{- \lambda y}|$ here?
41932
Prove that $\lambda = 0$ is an eigenvalue if and only if A is singular.
49704
The algebraic solution and numerical solutions for eigenvectors are different. Why?
86125
If $A$ is idempotent, then the eigenvalues of $A$ are $0$ or $1$
37836
Generalized eigenvectors in MATLAB?
59235
Finding eigenvalues of a differential operator
110086
Let $A$ be an $m \times n$ matrix. Show $A^TA$ and $AA^T$ have the same eigenvalues
88349
Are the eigenvalues of $AB$ equal to the eigenvalues of $BA$? (Citation needed!)
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
149916
Minimum eigenvalue and singular value of a square matrix
94424
Matrices and Eigenvalues of Norm
90576
Symmetric matrix eigenvalues
3682
If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable
81879
$Av=λv$ basis proof problems