Prove that the eigenvalues of a skew-symmetric matrix are purely imaginary
70455
Why are all nonzero eigenvalues of the skew-symmetric real matrices pure imaginary?
3544
Eigenvectors of a circulant matrix
59397
Eigenvalues of $AB$ and $BA$ where $A$ and $B$ are square matrices
19649
A question about the proof of "a symmetric matrix has real eigenvalues".
86125
If $A$ is idempotent, then the eigenvalues of $A$ are $0$ or $1$
125569
Prove that the eigenvalues of a real symmetric matrix are real
117808
A real nxn matrix always has a real eigenvalue when n is odd
65158
Oddity: Determinant of Skew-Symmetric $n\times n$ Matrices
94639
Proof that the rank of a skew-symmetric matrix is at least $2$
16439
What are the eigenvalues of matrix that have all elements equal 1?
124583
A question about eigenvalues of $5\times5$ matrix
99384
What are the Complex (Non-Real) Eigenvectors of $3\times 3$ Rotation Matrices?
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
56727
Odd-dimensional complex skew-symmetric matrix has eigenvalue $0$
120867
How prove this two symmetric matrices $AB=0$
155082
If $P$ is real orthogonal matrix with $\det P = -1$, prove that $-1$ is an eigenvalue of $P$.
138342
Proof of a matrix exponential identity