Eigenvalues of $A$ if $A^2=1$
104374
Diagonalizability of an involution over a Field
123679
General Information about Eigenvalues for an 3x3 symmetric matrix
52208
Show that a matrix $A$ is singular if and only if $0$ is an eigenvalue.
76477
Eigenvalues with transpose question.
98135
Show that the determinant of $A$ is equal to the product of its eigenvalues
108132
How Do I Compute the Eigenvalues of a Small Matrix?
77388
Differentiation operator and eigenvalues
100656
$2\times2$ matrix $A$ such that $A$ has one independent eigenvector while $A^{2}$ has two independent eigenvectors
120933
A is similar to $A^k$, then each eigenvalue of $A$ is a root of unity
78575
If $A^2 = I$, then $\operatorname{rank} (A+I) + \operatorname{rank} (A-I) =n$
9220
If $\lambda$ is an eigenvalue of $A^2$, then either $\sqrt{\lambda}$ or $-\sqrt{\lambda}$ is an eigenvalue of $A$
7376
Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$
73952
Upper bound for the sum of absolute values of the eigenvalues
5058
Eigenvalues of the rank one matrix $uv^T$
65062
Prove $\text{rank}(A) \geq \frac{(\text{tr}(A))^2}{\text{tr}(A^2)}$ when $A$ is Hermitian
86721
Find the eigenvalues of a matrix with ones in the diagonal, and all the other elements equal
54099
What are the eigenvalues of $\operatorname{ad}x$?