Prove that if the sum of each row of A equals s, then s is an eigenvalue of A.
51967
Prove that if the sum of each row of $A$ equals $s$, then $s$ is an eigenvalue of $A$.
144898
Let $A$ be complex matrix and $x$ be eigenvalue of $A\overline{A}$. Algebraic multiplicity of $x$ is even.
4952
Let $A$ be a diagonalizable matrix and $\lambda$ be an eigenvalue of A. Prove that rank($\lambda I - A$) = rank(($\lambda I - A)^2$).
146847
Given a square matrix A of order n, prove $\operatorname{rank}(A^n) = \operatorname{rank}(A^{n+1})$
55031
Show any matrix $A_{n\times n}$ can be written as sum of two nonsingular matrices
30882
Proving Invertibility and Eigenvalues
128990
Prove that, at least one of the matrices $A+B$ and $A-B$ has to be singular
19649
A question about the proof of "a symmetric matrix has real eigenvalues".
37162
Prove that matrices have equal rank.
70827
Prove that $\sum_{i = n - b}^{a - m} {a - i \choose m}{b + i \choose n} = {a + b + 1 \choose m + n + 1}$
35013
Demonstration: If all vectors of $V$ are eigenvectors of $T$, then there is one $\lambda$ such that $T(v) = \lambda v$ for all $v \in V$.
80022
Eigenvector of A by $A^2$
72046
Prove all eigenvalues of $A^*A$ are non-negative
26741
How to prove for $s<1,|a+b|^s\le|a|^s+|b|^s$
127127
Prove condition number of a invertible matrix is atleast one
116376
Prove the determinant is the product of its diagonal entries
143540
How to prove this decomposition of sum of squares?