MATH 1272 Lecture 1: 7.5- Strategies for Integration

Let F: R^3 rightarrow R^3 be a linear transformation such that, for some u, v in R^3, F(u) = (1, -3, 3) and F (v) = (-3, 4, 0). Find F (u + v). Enter your answer as a vector using square brackets, for example if your answer is (1, 2, 3) enter [1, 2, 3]. _______