Subspace of the real matrices generated by the matrices of the form $AB-BA$
84871
Determining the dimension of span$\{AB-BA : A,B \in M_{n \times n}(\mathbb R) \}$
47301
Hermitian Matrix
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
133482
$AB-BA$ is a nilpotent matrix if it commutes with $A$
84626
Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
78298
On the nilpotence of the matrix $AB-BA$
33642
Finite dimensional subspace of $C([0,1])$
125569
Prove that the eigenvalues of a real symmetric matrix are real
70021
Verify if symmetric matrices form a subspace
144145
Symmetric $3\times 3$ Matrices - Base matrix
6091
Similarity of products $AB$ and $BA$ of square matrices
31606
Do matrices $ AB $ and $ BA $ have the same minimal and characteristic polynomials?
125647
Solutions to the matrix equation $\mathbf{AB-BA=I}$ over general fields
138653
Is $\mathbb{R}$ a subspace of $\mathbb{R}^2$?
58021
Finding matrix $B$ is not zero matrix where $AB= 0$
132059
Minimal polynomials and cyclic subspaces
137081
Is the set of real matrices diagonalizable in $\mathcal M_n(C)$ dense in the set of all companion matrices?