Inverse of matrix has to have integer elements
17584
Integer matrices with integer inverses
51406
Determinant of a block matrix times the determinant of the inverse of a block
76723
Solving the matrix equation and finding the matrices inverse
125195
If matrix A is invertible, is it diagonalizable as well?
31421
Transpose inverse automorphism is not inner
111769
Why is inverse of orthogonal matrix is its transpose?
114271
Why is a matrix invertible if it can be written as the product of elementary matrices?
70723
Why are nonsquare matrices not invertible?
129647
$A^{-1}$ has integer entries if and only if the ${\rm det}\ (A) =\pm 1$
63394
About integer factorization
129564
Show that $A$ is an invertible matrix if $\left(A+I\right)^3=0$ and find $A^{-1}$
103665
Product of matrices of different order is not invertible
137920
Proving an equation with invertible matrices
148946
If $\mathbf{A}$ is a $2\times 2$ matrix that satisfies $\mathbf{A}^2 - 4\mathbf{A} - 7\mathbf{I} = \mathbf{0}$, then $\mathbf{A}$ is invertible
64742
Prove a residue matrix $A$ (with coefficients in $\mathbb Z_n)$ has an inverse if and only if $\gcd(\det A,n) = 1$
133149
Inverse of a Positive Definite
124149
Inverse of matrix with nonnegative entries