Prove that a square matrix commutes with its inverse
3301
If $AB = I$ then $BA = I$
141015
Proof of orthogonal matrix
65432
Prove that every elementary matrix is invertible, and the inverse is again an elementary matrix.
87441
Proof involving matrix equation
131480
Proof that composition of invertible linear transformations is invertible (without determinants)
52040
"Inverse" of an $n\times k$ matrix.
4517
Showing a $2\times2$ matrix is invertible
113518
Determinant of the inverse matrix
130498
Linear algebra proof regarding matrices
150387
Questions about matrix rank, trace, and invertibility
57731
Can commuting matrices $X,Y$ always be written as polynomials of some matrix $A$?
4509
Proof that an involutory matrix has eigenvalues 1,-1
10042
How to Show that Linear transformation is invertible?
67990
Commutativity of matrix and its transpose
4917
Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
40478
If $C$ commutes with certain matrices $A$ and $B$, why is $C$ a scalar multiple of the identity?
41436
rank of complex conjugate transpose matrix property proof