Hey everybody,

Given two 4x4 Matrices

A = [0 -1 1 1, -1 1 0 0, 0 0 -1 1, 0 0 0 0] B = [-0.5 -0.5 -0.5 -1.5, -0.5 1.5 0.5 -0.5, 0 0 -1 1, 0 0 0 0]

I need to show that these two matrices are similar. I understand that I need to find a non-singular invertible matrix S that satisfies the equation: AS = SB, but I have searched everywhere and have no clue as to how to find this matrix for 4x4 matrices. I have not learned eigenvalues or eigenvectors yet.

Thanks for any responses