MATH 415 Study Guide - Final Guide: Permutation Matrix, Lu Decomposition, Triangular Matrix

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

Document Summary

Also circle your answers on the exam itself: hand in both the exam and the scantron, on the scantron make sure you, there are several di erent versions of this exam. Fill in the following answers on the scantron form: On the rst page of the scantron, bubble in your name, your uin and your netid! On the back of the scantron bubble in the following: d, c. 1: (5 points) the matrix a = . Does not have an a = lu decomposition. However, after interchanging the rst and third rows of a, we can nd a p a = lu decomposition, where p is the permutation matrix that interchanges the rst and the third row. What are the appropriate matrices p , l, and u for such a decomposition? (a) p = (b) p = (c) p = (d) p = . For which value of k does the system: (5 points) let a = .