Problem 1 . (i) Let B: 0 '1 1 0 ). Evaluate eBc where c E R is a constant. (ii) Let A = (I; if) = M + a3. Evaluate 3\"\". a, b (iv) Classify the phase portrait for part (iii). If it is a spiral, then also say which direction the phase plots go (clockwise or counterclockwise). Assume a > 0. The answer will depend on the value of b. (iii) Solve f'(t) : As? with 575(0) 2 :30, where A = (b as). (v) Solve 5:" 2 A55 it (Your answer will involve an arbitrary vector 5'. You may use results from class.) Here f is a constant vector