1. The problem statement, all variables and given/known data Let A be a 3x3 singular Matrix that satisfy: p(A+5I) < p(A) p - is the rank of the matrix I - is the identity matrix, Is A Diagonalizable? 2. Relevant equations 3. The attempt at a solution I know that A diagonalizable matrix can be Singular from every rank, even at 0 rank, so i can't see how i can conclude anything.