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Tutorial Problem Set 4.pdf

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Department
Mathematics
Course
MAT137Y1
Professor
Birn
Semester
Winter

Description
Department of Mathematics, University of Toronto MAT223H1S - Linear Algebra I Winter 2013 Tutorial Problems 4 2 2 2 1. Show that the set S = f3 + 2x + 2x ;1 + x ;1 + x + x g is a basis for P2(R) by showing that both P 2R) = Span(S) and that S is linearly independent. 2. Find a basis for the subspace W = fp(x) 2 P5(R) j p(x) = p(▯x) for all xg of5P (R). ▯
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