Let T:P2 (IR) P2(R) T(a + ba + ca) = 3a 1b + 6c...

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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 + læ + 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 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 + læ + 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