Prove spectral radius of a primitive matrix is 1
51678
Proof that the largest eigenvalue of a stochastic matrix is $1$
115467
Eigenvalues of Householder matrix
48660
Proof that determinant rank equals row/column rank
88473
Proof that the trace of a matrix is the sum of its eigenvalues
149629
The Eigenvalues of a block matrix
133036
Jordan normal form and invertible matrix of generalized eigenvectors proof
158724
Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues
31149
Prove that matrix can be square of matrix with real entries
90964
Prove: symmetric positive definite matrix
156877
Rank-one perturbation proof
64517
Prove that row rank of a matrix equals column rank
46128
Representation of Matrix with Rank 1
98135
Show that the determinant of $A$ is equal to the product of its eigenvalues
259
Proving the determinant of a tridiagonal matrix with $-1, 2, -1$ on diagonal.
128453
If $A$ has two eigenvalues $\lambda _1, \lambda_2$ and $\dim (E_{\lambda_1})=n-1$, then $A$ is diagonalizable
10001
Prove that the only eigenvalue of a nilpotent operator is 0?
125889
Determinant of rank-one perturbations of (invertible) matrices