Hi

Are these 2 matrices similar to each other?

A= [0 5 0]

.....[0 0 5]

.....[0 0 0]

B = [0 10 0 ]

......[0 0 10]

......[0 0 0]

They have the same eigenvalues of 0,0,0 and the same rank, but there is no P or P^-1 that you can find to give you a diagonal matrix, being that the P you would get is entirely singular. Does that entail then that A and B here aren't similar at all? Thanks