Prove that T: P 2 P 2 defined as follows is linear. Find the kernel and range of T. Give

Chapter 4, Problem 29

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Prove that T: P 2 P 2 defined as follows is linear. Find the kernel and range of T. Give bases for these subspaces. T(a 2 x2 + a1x + a0) = (a 2 + a1) x2 + a1x + 2a0

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