CIS 110 Final: CIS 110 UPenn cis110 12fa a Final Solutions

• School: UPenn
• Department: Computer and Information Science
• Course: CIS 110
• Professor: All

Document Summary

You need to show your work, even for multiple choice problems. A correct answer with no work will get 0 points. The only exception are true/false problems, where no work needs to be shown. You are not allowed to use a calculator. The extra double sided sheet of paper needs to be hand written in your own hand writing (no copies allowed). (do not ll these in; they are for grading purposes only. ) 2: for what values of a does the following system have in nitely many solutions? x + y + z = 1. Answer: (a) 0 (b) 3 (c) 2 (d) 1 (e) 4 (f) 8. 3: (a) find the rank of the matrix. 4: let a be the matrix k (cid:19) For which value of k does there exist an invertible matrix p such that. Answer: (a) 2 (b) 7 (c) 4 (d) 8 (e) 2 (f) 8.