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10 Nov 2019
Compute the matrix representation of T relative to the bases beta and gamma. T: P_3(R) rightarrow R^3, T(a + bx + cx^2 + dx^3) = [2a - 3b + 4c - 2d a + b - c + d 3a + 2c - 3d], beta = {1, x, x^2, x^3}, gamma = {[1 0 0], [1 1 0], [1 1 1]}. T: P_2(R) rightarrow R^2, T(p(x)) = [p(1) p(3)], beta = {2 - 5x + x^2, 1 + x - x^2, x^2}, gamma = {[3 4], [2 3]}.
Compute the matrix representation of T relative to the bases beta and gamma. T: P_3(R) rightarrow R^3, T(a + bx + cx^2 + dx^3) = [2a - 3b + 4c - 2d a + b - c + d 3a + 2c - 3d], beta = {1, x, x^2, x^3}, gamma = {[1 0 0], [1 1 0], [1 1 1]}. T: P_2(R) rightarrow R^2, T(p(x)) = [p(1) p(3)], beta = {2 - 5x + x^2, 1 + x - x^2, x^2}, gamma = {[3 4], [2 3]}.
Bunny GreenfelderLv2
25 May 2019