Every invertible finite order matrix is semi-simple
98436
Finite order endomorphisms
36613
Prove that simultaneously diagonalizable matrices commute
142307
Counting invertible $0$-$1$ matrices that remain invertible under negating the diagonal
147797
If $A$ is an invertible matrix, then the column span of $A$ equals $F^{n\times1}$
52040
"Inverse" of an $n\times k$ matrix.
137920
Proving an equation with invertible matrices
25229
Can any set of $n$ relatively prime elements be extended to an invertible matrix?
73155
Prove that for any square matrix, an invertible matrix B exists, so that BA is triangular
58028
Semisimplicity is equivalent to each simple left module is projective?
150387
Questions about matrix rank, trace, and invertibility
33355
Proving that matrix in equation is invertible
4517
Showing a $2\times2$ matrix is invertible
111031
Matrix rank and linear independence of functions
125021
Inverse of an invertible upper triangular matrix of order 3
30665
Elegant proofs that similar matrices have the same characteristic polynomial?
116136
Proof that the inverse of a square matrix is unique
85845
Matrix with zeros on diagonal and ones in other places is invertible