MATH 415 Study Guide - Final Guide: Free Variables And Bound Variables, Linear Combination, Augmented Matrix

• School: University of Illinois
• Department: Mathematics
• Course: MATH 415
• Professor: J Li

Document Summary

[1 point] write down the number of your discussion section (for instance, ad2 or adh) and the rst name of your ta (allen, anton, babak, mahmood, michael, nathan, Instructions: no notes, personal aids or calculators are permitted, this exam consists of 9 pages. Take a moment to make sure you have all pages: you have 75 minutes, answer all questions in the space provided. If you require more space to write your answer, you may continue on the back of the page (make it clear if you do): explain your work! Little or no points will be given for a correct answer with no explanation of how you got it: in particular, you have to write down all row operations for full credit. 1 0 1 (a) [8 points] determine a 1. (b) [2 points] check whether aa 1 = i3. 6 7 5 (a) [10 points] calculate the lu decomposition of a. (b) [5 points] solve.