-- Consider o :U + V such that U P4 and V = P3 where o(ax3 + bx2 + cx + d) = (a +b)x2 + (6 - c)x+ (a +c+d). Observe that

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Consider O U V Such That U P4 And V P3 Where O Ax3 Bx2 Cx D A B X2 6 C X A C D Observe That 1 (30.79 KiB) Viewed 29 times

-- Consider o :U + V such that U P4 and V = P3 where o(ax3 + bx2 + cx + d) = (a +b)x2 + (6 - c)x+ (a +c+d). Observe that o is a linear transformation (do not prove this anymore). Find the matrix representing o with respect to the ordered basis A = {1, 2,2²,23} of U and ordered basis B = {1 – 3,1 + x, x2 + 1} of V.