Recall from Exercise 3.1.13 that for any subspace V Rn we have V (V ) . Give alternative

Chapter 3, Problem 14

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QUESTION:

Recall from Exercise 3.1.13 that for any subspace V Rn we have V (V ) . Give alternative proofs of Proposition 3.6 a. by applying Proposition 4.3; b. by applying Theorem 4.9 to prove that if x (V ) , then x V .

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QUESTION:

Recall from Exercise 3.1.13 that for any subspace V Rn we have V (V ) . Give alternative proofs of Proposition 3.6 a. by applying Proposition 4.3; b. by applying Theorem 4.9 to prove that if x (V ) , then x V .

ANSWER:

Step 1 of 3

It is given that,

           , .

To prove that,

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