$\sqrt{\lambda}$ is an eigenvalues of $A$
9220
If $\lambda$ is an eigenvalue of $A^2$, then either $\sqrt{\lambda}$ or $-\sqrt{\lambda}$ is an eigenvalue of $A$
81275
Eigenvalue Problem -- prove eigenvalue for $A^2 + I$
119387
If $A$ is any matrix then $A^*A$ and $AA^*$ are Hermitian with non-negative eigenvalues
123679
General Information about Eigenvalues for an 3x3 symmetric matrix
7457
Prove that $J^+AJ$ has positive eigenvalues
90576
Symmetric matrix eigenvalues
149629
The Eigenvalues of a block matrix
62590
Show norm preserving property and determine Eigenvalues
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
141628
How did the equation $|A- \lambda I| = 0$ came for finding Eigen values of a Matrix
60723
Prove that if $A$ is normal, then eigenvectors corresponding to distinct eigenvalues are necessarily orthogonal (alternative proof)
135420
Determining eigenvalues, eigenvectors of $A\in \mathbb{R}^{n\times n}(n\geq 2)$.
115467
Eigenvalues of Householder matrix
52260
Diagonalization and eigenvalues
30882
Proving Invertibility and Eigenvalues
119352
compact and self adjoint square root of an operator
80544
Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues