Exercise 6.C.2

Answers

Proof. Suppose $U^{⊥} = {0}$ . Since $V = U \oplus U^{⊥}$ (by 6.47), it follows that $U = V$ .

Conversely, suppose $U = V$ . Then $U^{⊥} = V^{⊥} = {0}$ . □

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2017-10-06 00:00