Regular Matrix A with $A*B=B*A$
7418
The Center of $\operatorname{GL}(n,k)$
17032
If $ab=ba$, Prove $a^2$ commutes with $b^2$
147490
If matrix $AB=A$, does it mean B must be an identity matrix?
119387
If $A$ is any matrix then $A^*A$ and $AA^*$ are Hermitian with non-negative eigenvalues
151443
Find two $2 \times 2$ matrices $A$ and $B$ with the same rank, determinant,...but they are not similar.
35080
If matrices $A$ and $B$ commute, $A$ with distinct eigenvalues, then $B$ is a polynomial in $A$
147903
Similar matrices-Identity
42500
Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
55031
Show any matrix $A_{n\times n}$ can be written as sum of two nonsingular matrices
108850
Complex matrix that commutes with another complex matrix.
60006
Matrix equation: $A−A(A + B)^{−1}A = B−B(A + B)^{−1}B$
12927
$A^2+B^2=AB$ and $BA-AB$ is non-singular
146243
Does there exist a matrix $\mathbf{A}\in\mathbb{R}^{3\times3}$ such that $\mathbf{A}^{2}=-\mathbf{I}$?
73697
Let $A, B$ be $n\times n$ with $n\ge 2$ nonsingular matrices with real entries such that $A^{-1} + B^{-1} =(A+B)^{-1}$
130498
Linear algebra proof regarding matrices
110408
Solving for $A$ in $Ax = b$
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$