Find the matrix A of the linear transformation T(f(t)) = 7f'(t) + 6f (t) from P2 to P2 with respect to the standard basis for P2, {1,t,t²}. A =

Find the matrix A of the linear transformation T(f(t)) = 5f'(t) + 6f(t) from P2 to P2 with respect to the standard basis for P2, {1,t, t }. A =

Find the matrix A' for T relative to the basis B'. T: R² A' = X A' = 3 11/3 R², T(x, y) = (x - y, y - 2x), B' = {(1, -2), (0, 3)} -3 48 -16 -4 Find the matrix A' for T relative to the basis B'. ↓ 1 T: R² → R², T(x, y) = (-7x + y, 7x - y), B' = {(1, −1), (-1,5)} -72 24

Find the standard matrices A and A' for T = T₂ o T₁ and T' = T₁0 T₂. T₁: R² R², T₁(x, y) = (x - 3y, 3x + 3y) T₂: R² → R², T₂(x, y) = (y, 0) A = A' = ↓ ↑ 00