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1. Let V be an inner product space, and let W be any subspace of V. (a) (3 points) Prove that the set W' := {U EV | (V,w
Posted: Thu May 12, 2022 2:01 pm
by answerhappygod
- 1 Let V Be An Inner Product Space And Let W Be Any Subspace Of V A 3 Points Prove That The Set W U Ev V W 1 (52.03 KiB) Viewed 28 times
1. Let V be an inner product space, and let W be any subspace of V. (a) (3 points) Prove that the set W' := {U EV | (V,w) = 0, for every w EW} is a subspace of V. (b) (5 points) Find the set W', if V = R3 (with the standard dot product) and W = span {f}]} (c) (2 points) Find a basis for W' from part (b). What is dim(W')?