Give two specific examples of a non-zero matrix X such that: AX = XA.
43570
Finding two non-zero matrices where $AX = BA$
33448
Proof if $AB+BA=0$ Then atleast one of the matrices are singular.
35874
Show that when $BA = I$, the solution of $Ax=b$ is unique
32767
Similar Matrices and Linear Transformations
84626
Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
61538
Given a square matrix $A$, both $AA^T$ and $A^TA$ are symmetric
145980
For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
61274
If $AA^T$ is the zero matrix, then $A$ is the zero matrix
86841
Find a matrix $B$ such that $B^3 = A$
126064
What are examples of two non-similar invertible matrices with same minimal and characteristic polynomial and same dimension of each eigenspace?
29454
A and B are real, symmetric and positive semi-definite matrices of the same order; is AB diagonalizable?
123808
How would I solve the following problem involving elementary matrices?
138025
How to show the solution of $\dot{x} = Ax $ is an invariant subspace?
59239
For non-zero real $x$, $y$, $z$ and complex $a$, $b$, $c$ with $|a|=|b|=|c|$, if $x+y+z=0=ax+by+cz$, then $a=b=c$
120213
Example $x$, $y$ and $z$ values for $x\uparrow^\alpha y=z$ where $\alpha\in \Bbb R-\Bbb N$
117352
Show $x^n+ax+b=0$ has most two solutions