MATH 415 Study Guide - Final Guide: Elementary Matrix, Euclidean Vector, Lu Decomposition

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

Document Summary

Question library question correct answer your answer points. 0 h (a) 10 (b) 2 (c) all real numbers h (d) 0 (e) no values of h. To answer this question, we have to check if the system ax = b is consistent. So we form an augmented matrix and row reduce: Because we have a row of zeros, this system is only consistent if h 2 = 0, i. e. if h = 2. Which of the following choices for a makes a invertible, where a is (cid:20)2 a. 2 a(cid:21)? (a) only for 2 and 2. (b) any real number. (c) no real number. (d) any real number except for 2 and 2. Because det(a) = 2a 2a = 0 for every a. What is the number of pivots for this matrix? (a) 0 (b) 2 (c) 1 (d) 3 (e) none of the other answers. At = ( 3)( 3) + 2 3.