Exercise 7.3.10

Answers

Let $p (t)$ be the minimal polynomial of $T$ . Thus we have

p (T_{W}) (w) = p (T) (w) = 0

for all $w \in W$ . This means that $p (T_{W})$ is a zero mapping. Hence the minimal polynomial of $T_{W}$ divides $p (t)$ .

jephianlin

2011-06-27 00:00