final-exam-bfe4c #6 Page 2 of 12 Part A: 6 Multiple choice questions: You must clearly indicate your answers on the bubble sheet at the end of this booklet. Answers or work indicated anywhere else on your exam will not be eligible for marking. Fill in the rectangle corresponding to your answer fully, using a dark pen or pencil. Grading: all MC question could have several correct answers. You get full marks (2 pts. ) if you have selected all of them. If you select any wrong answer, you get 0. If you had only selected some of the correct answers, you get 1 point. Problem 1. [2 pts.] Let = = v2/2 + (v2/2)i. Indicate all that apply. A) |21 = 1 B) ztz = V2/2 C) The argument of z is 7/2. D 24 = 2. Problem 2. [2 pts.] Let u, v be nonzero vectors in R" and suppose that u E {v} . Indicate all that apply. A) velu} Bu . v = 0 C) {u, v} is linearly independent. D) {u, v} is linearly dependent. oblem 3. [2 pts.] Let T : R4 - R' be a linear transformation with standard matrix A. pose that the rank of A is 4. Indicate all that apply. A) T is onto. B) T is one-to-one. The nulity of A is 0. The nulity of A is 1