For each linear transformation below find it matrix T righta

For each linear transformation below find it matrix T: rightarrow defined by T(x, y)^T = (x + 2y, 2x - 5y, 7y)^T; T: rightarrow defined by T(x_1, x_2, x_3, x_4)^T = {x_1 + x_2 + x_3 + x_4, x_2 - x_4, x-1 + 3x_2 + 6x_4)^T; T: rightarrow, Tf(t) = f\'(t) (find the matrix with respect to the standard basis l,t,t^2,..., t^) T: rightarrow Tf(t) = 2f(t) + 3f\'(t) - 4f\"(t) (again with respect to the standard basis 1, t, t^,..., t^n)

Solution

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