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Linear Algebra

Exercise 7.1.6

Answers

1.

Use the fact that

T (x) = 0

if only if

(- T) (x) = - 0 = 0

.

2.

Use the fact that

{(- T)}^{k} = {(- 1)}^{k} T

.

3.

It comes from the fact

{(λ I_{V} - T)}^{k} = {[- (T - λ I_{V})]}^{k}

and the previous argument.

jephianlin

2011-06-27 00:00

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