1. The problem statement, all variables and given/known data Assume that the matrix A is diagonalizable : A=PDP-1, where D is the diagonal matrix of eigenvalues. Show that this factorization is not always unique 2. Relevant equations 3. The attempt at a solution I have a couple of theories. The first being that since the matrix D can be reordered in any way as long as the eigenvalues are on the diagonal. The second is that A=P-1CP when C is the non diagonalized matrix.