Let T : P2(R) P2(R) be the linear transformation satisfying T (1) = x + 1, T (x) = x2 1
Chapter 6, Problem 31(choose chapter or problem)
Let T : P2(R) P2(R) be the linear transformation satisfying T (1) = x + 1, T (x) = x2 1, T (x2) = 3x + 2. Determine T (ax2 + bx + c), where a, b, and c are arbitrary real numbers.
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