1. Let A be nxn matrix, suppose that $\displaystyle

A \ne 0,I,A^2 = A

$ so prove that $\displaystyle

\lambda = 1,\lambda = 0

$ are eigenvalues.

2. if I know that A and B are similar how can I find P invertibale that sustains: $\displaystyle

B = P^{ - 1} AP

$?