Singular values of $A$ and eigenvalues of $\left(\begin{smallmatrix} 0 & A\\ A^*& 0 \end{smallmatrix}\right)$
1398
Find eigen values of $B = \begin{bmatrix} 0 & A^* \\ A &0 \end{bmatrix}$
98323
If A is invertible, prove that $\lambda \neq 0$, and $\vec{v}$ is also an eigenvector for $A^{-1}$, what is the corresponding eigenvalue?
86125
If $A$ is idempotent, then the eigenvalues of $A$ are $0$ or $1$
80022
Eigenvector of A by $A^2$
90576
Symmetric matrix eigenvalues
129564
Show that $A$ is an invertible matrix if $\left(A+I\right)^3=0$ and find $A^{-1}$
119352
compact and self adjoint square root of an operator
104293
How to prove "eigenvalues of polynomial of matrix $A$ = polynomial of eigenvalues of matrix $A$ "
149629
The Eigenvalues of a block matrix
124583
A question about eigenvalues of $5\times5$ matrix
136643
Continuity of eigenvalues and spectral radius for a general matrix
18297
Suppose that each of the row sums of an $n\times n$ matrix $A$ is equal to zero. Show that $A$ must be singular.
24454
The relationship between the eigenvalues of matrices $XY$ and $YX$
68132
Small positive eigenvalues found for a negative definite matrix
81275
Eigenvalue Problem -- prove eigenvalue for $A^2 + I$
30923
Is the matrix $A^*A$ and $AA^*$ hermitian?
31999
Relation of this antisymmetric matrix $r = \left(\begin{smallmatrix}0 &1\\-1&0\end{smallmatrix}\right)$ to $i$