(a) Two numbers have a sum of 6 and a product of 13. Find the two numbers. (b) Write i 3 (1 + 2i)(5 + 4i)(6 + i)(30 + 13i) in the form a + bi, with a, b ∈ R. (c) Row operations can be performed on matrices with complex entries. A student is row reducing a complex matrix. Fill in the missing entries (marked ??) in her work. (You do not have to do the back substitution to solve the system.)  4 − 5i −3 + 14i 0 2 + 2i −3 − 2i 1  ∼  1 ?? 0 2 + 2i −3 − 2i 1  ∼  1 ?? 0 0 ?? 1  r1 1 4 − 5i r1 r2 r2 − (2 + 2i)r1 6 Marks Question 2. Let w =  1 2 3  and v =  4 5 6  . Find vectors w1 and w2 such that w = w1 + w2, w1 is parallel to v, and w2 is orthogonal to v.