Question:Suppose that V is finite-dimensional and P ∈ L(V ) satisfies P^2
= P. Show that...
Question
Suppose that V is finite-dimensional and P ∈ L(V ) satisfies P^2
= P. Show that...
Suppose that V is finite-dimensional and P ∈ L(V ) satisfies P^2
= P. Show that E(0, P) =null P and E(1, P) = range P. Deduce that P
is diagonalizable.