MATH122 Final: Final Exam Fall 2016
Document Summary
Instructor: (cid:3) chun-hua guo (001) (cid:3) paul arnaud tsopmene (003) (cid:3) shuchita sharma (l01) Instructions: full credit is awarded only for well-presented, correct solutions in which all of your work is shown. The marks allocated for each question are found to the left of the question: your solution and nal answer should appear on the right side of the pages in this exam booklet. 1 x1 + 2x2 x3 2x4 = X1 2x2 x3 + 6x4 = If possible, nd conditions on a and b such that the following system has no solutions, exactly one solution, and in nitely many solutions, respectively. If it is, nd a 1, the inverse of a. 4 (b) find all solutions to ax = . Find an invertible matrix u such that u a = r, with r being the reduced row-echelon form for a, and express u as a product of elementary matrices.
