For square matrix, right or left inverse is equivalent to inverse.
3301
If $AB = I$ then $BA = I$
33057
The inverse is a root of the reciprocal (reverse) polynomial.
75066
If the product of two square matrices is invertible, then both matrices are invertible
77554
Inverse of the sum of matrices
108589
The inverse of the matrix $\{1/(i+j-1)\}$
16779
Why does $\left\| {\left| A \right|} \right\| \le \left\| {\left| I \right|} \right\|$, for every doubly stochastic matrix $A \in M_n$?
96995
Is the inverse of a linear transformation linear as well?
71203
Proving that two systems of linear equations are equivalent if they have the same solutions
85550
Positive definiteness of difference of inverse matrices
27474
A square matrix $n \times n$ is an invertible matrix iff the rank of the matrix is $n$.
20856
Inverse of Linear Transformations
101452
How is the determinant related to the inverse of matrix?
125195
If matrix A is invertible, is it diagonalizable as well?
141015
Proof of orthogonal matrix
24441
Inverse of a matrix is expressible as a polynomial?
146715
A square matrix has the same minimal polynomial over its base field as it has over an extension field
103367
Is inverse matrix convex?