Prove that $T$ has at most two distinct eigenvalues
6514
Prove $T$ has at most two distinct eigenvalues
149801
prove that $TS = ST$
149086
Determining $\mbox{tr}(A)$ and $\det(A)$ as functions of the eigenvalues of a matrix
135420
Determining eigenvalues, eigenvectors of $A\in \mathbb{R}^{n\times n}(n\geq 2)$.
54118
Proving Eigenvalue squared is Eigenvalue of $A^2$
136643
Continuity of eigenvalues and spectral radius for a general matrix
87494
$\operatorname{rank}(T^3) + \operatorname{rank}(T) \geq 2\operatorname{rank}(T^2)$ for finite-dimensional $V$
126337
Eigenvalues in orthogonal matrices
19649
A question about the proof of "a symmetric matrix has real eigenvalues".
52260
Diagonalization and eigenvalues
52208
Show that a matrix $A$ is singular if and only if $0$ is an eigenvalue.
61538
Given a square matrix $A$, both $AA^T$ and $A^TA$ are symmetric
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
13723
Doubly stochastic matrix proof
49158
Multiplicity of eigenvalues
29788
Eigenvalues of a matrix whose square equals its transpose
55377
Non-zero eigenvalues of $AA^T$ and $A^TA$