Exercise 8.C.2

Answers

Proof. We have

1 \leq \dim G (5, T), \dim G (6, T) \leq n - 1 .

Hence $p (z) = {(z - 5 I)}^{n - 1} {(z - 6 I)}^{n - 1}$ is a polynomial multiple of the characteristic polynomial. Therefore, $p (T) = 0$ . □

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2017-10-06 00:00