Prove a triangular matrix is invertable if and only if all diagonal values are non-zero.
124942
Prove that an upper triangular matrix is invertible if and only if every diagonal entry is non-zero.
97781
invertible matrices connected or not
898
Strictly diagonally dominant matrices are non singular
57543
Show that a matrix is nilpotent.
142307
Counting invertible $0$-$1$ matrices that remain invertible under negating the diagonal
74341
Proving an invertible matrix which is its own inverse has determinant $1$ or $-1$
30882
Proving Invertibility and Eigenvalues
129564
Show that $A$ is an invertible matrix if $\left(A+I\right)^3=0$ and find $A^{-1}$
259
Proving the determinant of a tridiagonal matrix with $-1, 2, -1$ on diagonal.
40222
Matrices that are not diagonal or triangular, whose eigenvalues are the diagonal elements
59055
Diagonalizable transformation restricted to an invariant subspace is diagonalizable
153506
Proving the inverse of a matrix equals $I_n-\frac{1}{n-1}A$
64077
$I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
36613
Prove that simultaneously diagonalizable matrices commute
125021
Inverse of an invertible upper triangular matrix of order 3
125195
If matrix A is invertible, is it diagonalizable as well?
33477
Proving that if $A$ is a $8\times 8$ matrix over $\mathbb{R}$ and $A^3=A$, then $A$ is diagonalizable.