12. Matrices of Linear Transformations
Let L : P^(r) -> P^(r) be defined by L(f) = 3f'(c) - f''(r). Give the matrix for L with respect to the standard bases {1, x, x^2} and {1, x, x^2}.
Let T : R^2 -> R^2 be given by T(x, y) = (3x + 2y, 2x + 3y). Give the matrix for T with respect to the basis {(1, 0), (0, 1)}.