Let V be the subspace of C[0, 2] spanned by the vectors 1, sin x, and cos x, and let T

Chapter 8, Problem 18

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Let V be the subspace of C[0, 2] spanned by the vectors 1, sin x, and cos x, and let T : V R3 be the evaluation transformation at the sequence of points 0, , 2. Find (a) T(1 + sin x + cos x) (b) ker(T ) (c) R(T )

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