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

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Math 235 Online 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 ( x ) , q ( x ) i = p ( - 1) q ( - 1) + p (0) q (0) + p (1) q (1) . 2. In this question, we are using the standard inner product on R 3 . Let S = Span
be a subspace of R 3 and let ~w = 1 1 2 . a) Find an orthonormal basis for S .
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