How to use row elementary row transformation to find invertible matrix, and is there any formula to find the nth power of matrix?

How to use row elementary row transformation to find invertible matrix, and is there any formula to find the nth power of matrix?


Inverse matrix by elementary row transformation, that is, matrix (a, e) is transformed into matrix (E, A-1) by elementary row transformation
A-1 is the inverse matrix of A
Finding the nth power of a matrix is generally by induction, but there is no formula