for P, I have the matrix P = (4,-9; 4,-8) and the A matrix is A = (3,2; 2,1)
I found P^-1 to be (-1,2; 2,-3)
When I performed P^1AP, I got (-2,1; 0,-2) and I want to know why this formed a triangular matrix
When I say Bs actual sequence, I mean the numbers that compose that matrix such as a 3x3 matrix with the numbers 654,896,327 and when I say Br I mean performing the exact same row operations that you did on A and applying them to B in the same order and I want to know why it doesn't matter what...
if you perform row operations on a matrix A to convert it to the identity matrix and then use the same row operations and apply it to another matrix B, why is it that the end result of B^r does not depends on B's actual sequence