MATH 4023 Midterm: MATH 4023 LSU 4023s04 Exam f
Document Summary
Answer each of the questions on your own paper, and be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. Put your name on each page of your paper: [15 points] prove that the formula. 2n is valid for all integers n 2. Your proof should be written in grammatically correct complete sentences. Write as a product of disjoint cycles, and use this to nd the order of and determine if it is even or odd. (c) solve the equation x = (1, 3, 7) for x s(9). Express x as a product of disjoint cycles. Final exam (a) show that the group g = z . Reasons for your answer are required. (a) the multiplicative group g8 = z . A b a d c a b c d b a b c a b c d d b a d c.
