Find two non-singular matrices such that $AB=-BA$
52882
find nonsingular matrices $B$ and $C$ that satisfy $BC+ CB= 0$
17032
If $ab=ba$, Prove $a^2$ commutes with $b^2$
33448
Proof if $AB+BA=0$ Then atleast one of the matrices are singular.
22410
Find a symmetric matrix $B$ such that for every $3\times 1$ matrix $\text{x}$
12213
Similarity of real matrices over $\mathbb{C}$
3330
Square matrices, ABA = A?
120867
How prove this two symmetric matrices $AB=0$
6096
If $A+B=AB$ then $AB=BA$
100656
$2\times2$ matrix $A$ such that $A$ has one independent eigenvector while $A^{2}$ has two independent eigenvectors
123366
Determinant of block matrices with non-square blocks
133482
$AB-BA$ is a nilpotent matrix if it commutes with $A$
1865
Sub-determinants of an orthogonal matrix
11566
Similar matrices and minimal polynomial
35874
Show that when $BA = I$, the solution of $Ax=b$ is unique
18800
If A and B are symmetric is AB=BA true?
151443
Find two $2 \times 2$ matrices $A$ and $B$ with the same rank, determinant,...but they are not similar.
32767
Similar Matrices and Linear Transformations