Let T : P3 → P3 be the linear transformation such that T(-2а3) %3 За? + За, Т(-0.5а + 3) %— 322 + 4г — 1, Т(5а? + 1) — —Зг + 1. Find T(1), T(x), T(x²), and T(ax² + bx + c), where a, b, and c are arbitrary real numbers. T(1) = 15/2x^2 + 9/2 x + 1 T(x) = -3/2 x^2 - 43/2x + 8 %3D T(x2) = -3/2 x^2 - 3/2x T(ax? + bx + c) = x^2((15c-3b-3a)/2) + x((9c - 43b - 3a)/2) + (8b +c)
Let T : P3 → P3 be the linear transformation such that T(-2а3) %3 За? + За, Т(-0.5а + 3) %— 322 + 4г — 1, Т(5а? + 1) — —Зг + 1. Find T(1), T(x), T(x²), and T(ax² + bx + c), where a, b, and c are arbitrary real numbers. T(1) = 15/2x^2 + 9/2 x + 1 T(x) = -3/2 x^2 - 43/2x + 8 %3D T(x2) = -3/2 x^2 - 3/2x T(ax? + bx + c) = x^2((15c-3b-3a)/2) + x((9c - 43b - 3a)/2) + (8b +c)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 81RE
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