Question

IM
(a) Let T be a linear operator on a finite-dimensional vector space V, and
W1,W2,...,W.be T-invariant subspaces of V such that V = W, OWO
Prove that T is diagonalizable if and only if Tw, is diagonalizable for all i. (​

Answer 1

Answer:

IM

(a) Let T be a linear operator on a finite-dimensional vector space V, and

W1,W2,...,W.be T-invariant subspaces of V such that V = W, OWO

Prove that T is diagonalizable if and only if Tw, is diagonalizable for all i. (V,W