tut5_soln - Math 235 Tutorial 5 Problems 1 0 1 1: In R4 let...

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Unformatted text preview: Math 235 Tutorial 5 Problems 1 0 1 1: In R4 let W = Span (1) , i , _01 1 1 0 a) Use the Gram—Schmidt procedure to produce an orthogonal basis for W. 2 b) Find the projection of a? = 3 onto W. 6 c) Find an orthogonal basis for Wi. 2: In P2 with inner product < p(I),q($) >= p(0)q(0) +p(1)q(1) + p(2)q(2). Find the projection of f(m) : 1 + x2 onto the subspace [U = Span{1 + :5, x2}. 3: Let U and W be subspaces of an inner product space V. Prove that if {U is a subspace of W, then WL is a subspace of UL. 4: Let 17 be a vector in an inner product space V and let [U be a finite dimensional subspace of U Prove that Hva 2 projU ...
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This note was uploaded on 11/28/2011 for the course MATH 235 taught by Professor Celmin during the Fall '08 term at Waterloo.

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tut5_soln - Math 235 Tutorial 5 Problems 1 0 1 1: In R4 let...

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