Using the inner product (p, q) = ∫10p(x)q(x) dx on P2, write v as the sum of a vector in U and a vector in UL.
(a) v = x2, LJ = span{x + 1, 9x - 5}
(b) v = x2 + 1, U = span{ 1, 2x - 1}
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