Question: Let T:P2 (IR) P2(R) T(a + ba + ca) = 3a 1b + 6c +(- 11a + 4b 22c)x + (- 6a + 36

Let T:P2 (IR) P2(R) T(a + ba + ca) = 3a 1b

Let T:P2 (IR) P2(R) T(a + ba + ca) = 3a 1b + 6c +(- 11a + 4b 22c)x + (- 6a + 36 11c)z? Let B = {1 2x - 4x?, 1 la 22, 0 + 0z + la} and C = {- 8 22 3z?, 0 + l + 0z, 3 + 0r + la*} be two bases for p2(R). Compute the matrix [T] = M1 M2M3 using change of basis to get each of the three matrices below. %3D (You may use a matrix inverse calculator to determine any required inverses of matrices.): M2 %3D M3

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