MATH102 Lecture 1: 1.2, Echelon Forms, Solving Linear Systems

Write your solution on separate sheets of paper and attach them to this page before handing in. Show your work clearly. Problem: The matrix 1 0 2 1 1 1 2 1 3 3 -10-2 0 1 -1 1 0 1 5 1 9-1-11 2ノ has the reduced row echelon form 1 0 2 0-3 0 0 1 -1 0 2 0 0 0 0 1 -2 0 0 0 0 0 0 1 R- (This is of course easy enough to check, but you are not required to do so.) Use this information to solve the following linear systems without further computations: 2x1+02+33+3x4-10x5-2c6 0 2c1+02+3x3+3c4-10z52 51+2+9x3 4-1152 2T1+2+33+3410 51+2+93- 411

-16 4 7-13 Let 2 and A 2 1s u in the subset of R3 spanned by the columns of A? Why or why not? -10 1 3 -7 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) O A. Yes, multiplying A by the vectorwrites u as a linear combination of the columns of A. O B. No, the reduced row echelon form of the augmented matrix is , which is an inconsistent system.

weBWorK : Kim,MAT-24 ×Te Parameterize The 5oluti . D WeBWorK :Lytvak-MAT- L x >c ← C secure https://webworkas edu/webwork2/Kim MAT 242 Fall 2017/Chapter 1/3/?key-uENc7HskigosRtSbeyb4NTVF9f9KgRWu&user=yoremus&effectiveUser=Joremus WeBWork Logged in as joremus Lon Out L MATHEMATICAL ASSOCIATION OF AMERICA webwork / kim_mat 242 fall_2017 chapter 13 MAIN MENU Courses Homework Sets Chapter 1: Problem 3 Chapter 1 Problem 3 User Settings Previous Problem List Next Grades 12 Problems 3 9 36 (1 point) The reduced row echelon form of is 17 进 68 Problem 1 Problem 2 Problem 3 Problem 4 … Problem 5 Problem 6. Problem 7. Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14... Problem 15 Problem 16. Preview My Answers Submit Answers You have attempted this problem 6 times. Your overall recorded score is 0%. You have unlimited attempts remaining. Emall instructor Page generated at oB 29/2017 at 03:38pm MST weBworK⑩ 1996-2016 l theme: meth4 Iww-version: 2.12 I pg-version: 2.121 The weeworK Proiect OType here to search 3:39 PM 8/29/2017