Department of Mathematics, University of Toronto
MAT223H1S - Linear Algebra I
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).