h3 - W = f ∈ P 3 R f ′ − 2 = 0 3 Let vx v y be a...

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Homework Set 3 for MAS 4105 Due Wednesday, February 1 1. Let S be a subset of the vector space V and let v z Span( S ). Prove that Span( S ∪ { v z } ) = Span( S ). 2. Determine (with justiFcation) a basis for the subspace W of P 3 ( R ) deFned by
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Unformatted text preview: W = { f ∈ P 3 ( R ) : f ′ ( − 2) = 0 } . 3. Let { vx, v y } be a basis for the vector space V . Prove that the set { vx − v y, − 2 vx + v y } is also a basis for V ....
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