Let T : P2 R3 be the function defined by the formula T(p(x)) = p(1) p(0) p(1) (a) Find
Chapter 8, Problem 20(choose chapter or problem)
Let T : P2 R3 be the function defined by the formula T(p(x)) = p(1) p(0) p(1) (a) Find T(x2 + 5x + 6). (b) Show that T is a linear transformation. (c) Show that T is one-to-one. (d) Find T 1(0, 3, 0). (e) Sketch the graph of the polynomial in part (d).
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