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Exercise 9.A.8

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Proof. If $T_{}$

C $h a d a n o n r e a l e i g e n v a l u e$ $λ$ , then by 9.11 and 9.16 it would have $4$ eigenvalues, namely $5, 7, λ, \bar{λ}$ , which is a contradiction because the dimension of ${(ℝ^{3})}_{}$

C $e q u a l s$ 3 $(s e e 9.4 (b)) a n d$ T_C $h a s a t m o s t$ 3 $e i g e n v a l u e s (s e e 5.13) . □$

celiopassos

2017-10-06 00:00

Exercise 9.A.8

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