Let S = Span 1 + x 2 be a subspace of P 2 R Find a...

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Math 235 Assignment 5 Solutions 1. Let S = Span { 1 + x 2 } be a subspace of P 2 ( R ). Find a basis for S under the inner product h p, q i = p ( - 1) q ( - 1) + p (0) q (0) + p (1) q (1). 2. Let S = Span - 1 1 be a subspace of R 3 and let ~w =
a) Find an orthonormal basis for S .

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