Problem 4: Linear Functions Consider the following three vectors in R3: A = B NO jo o A. (2 points) Let , 3, z be three numbers in R such that &A + yB = zC. Find a, y, z. B. (4 points) Now suppose that f : RS - R such that Could f be linear? Justify your answer. Hint: part (a) may be useful here. C. (4 points) Keeping the notation and assumptions from parts (a) and (b) of this problem, now assume further that f (e3) = Could f now be linear? Justify your