Elemental transformations of matrices

In this lesson we explain how to transform matrices using post and pre multiplication by matrices, which produce column and row transformations, respectively. Three types of matrices are defined, which come from the identity matrix replacing one diagonal element, a non-diagonal element or permuting two rows or columns. These matrices are used to produce the same transformations as the algorithm in the different iterations. They are used to demonstrate the formula for the determinant of a matrix.