As requested, here is a blocks based matrix inversion value procedure, along with two test cases from 2.5: Application of Matrices in Cryptography - Mathematics LibreTexts
matrix.aia (11.4 KB)
The algorithm is taken from https://www.codewithc.com/c-program-for-gauss-jordan-method/ and is taken literally from the C code.
This algorithm lacks error checking for cases where the given matrix can't have an inverse:
- number of rows does not match number of columns
- the matrix does not have an inverse (manifests by a divide by zero error)