The sets S = {1, x} and S = 1 1 2 (1 + x), 1 2 (1 x)2 are orthonormal bases for P1 with
Chapter 7, Problem 24(choose chapter or problem)
The sets S = {1, x} and S = 1 1 2 (1 + x), 1 2 (1 x)2 are orthonormal bases for P1 with respect to the standard inner product. Find the transition matrix P from S to S , and verify that the conclusion of Theorem 7.1.5 holds for P.
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