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Posted: **Wed May 11, 2022 11:00 pm**

: 16 Points Let T P3 P3 Be The Linear Transformation Such That T 2x 4x2 2x T 0 5x 3 4x2 2x 1 T 2x 1 (24.95 KiB) Viewed 14 times

(16 points) Let T :P3 + P3 be the linear transformation such that T(2x²) = 4x2 – 2x, T(-0.5x + 3) = -4x2 – 2x +1, T(2x² + 1) = 3x +1. Find T(1), T(x), T(x2), and T(ax2 + bx + c), where a, b, and c are arbitrary real numbers. T(1) = T(x) = T(x²) = Tax2 + bx + c) =