Find the matrix of the following linear transformations with respect to the basis {x, 1}

Chapter 5, Problem 16

(choose chapter or problem)

Find the matrix of the following linear transformations with respect to the basis {x, 1} of P1 and {x2 , x, 1} of P2 (a) T(ax2 + bx+ c) = (b + c)x2 + (b - c)x of P2 into itself. (b) T(ax + b) = bx2 +ax+ b of P1 intoP2. (c) T(ax2 + bx+ c) = 2cx + b - a of P2 into P1.

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