eigenvalues of $AA^T$ and $A^TA$
110086
Let $A$ be an $m \times n$ matrix. Show $A^TA$ and $AA^T$ have the same eigenvalues
155828
How do I show that $A$ and $A^T$ are similar, given that the minimal polynomial of $A$ splits over $\mathbb{F}$?
7457
Prove that $J^+AJ$ has positive eigenvalues
149629
The Eigenvalues of a block matrix
118417
Is $AA^T$ positive semidefinite?
116539
Eigenvalues of matrix satisfying $A^2 = A$
11358
Eigenvalues of the Lagrangian?
30882
Proving Invertibility and Eigenvalues
151332
If $A,B$ have eigenvalues $\pm1$, what can I say about the eigenvalues of $AB,BA$?
112900
Eigenvalue of a polynomial evaluated in a operator
149923
eigenvalues of A - aI in terms of eigenvalues of A
6514
Prove $T$ has at most two distinct eigenvalues
42799
Let $x$ and $y$ be two non-zero $n × 1$ vectors. If $y^T$ denotes the transpose of $y$, what are the eigenvalues of the $n × n$ matrix $xy^T$
81275
Eigenvalue Problem -- prove eigenvalue for $A^2 + I$
70468
Row space and column space of $A^T A$ and $A A^T$
74532
Solve for $ A $ from $ A {A}^{T} $
52260
Diagonalization and eigenvalues