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Unformatted text preview: Print Name: Student Number: Math 20F. Midterm Exam 1 October 17, 2005 Read each question carefully, and answer each question completely. Show all of your work. No credit will be given for unsupported answers. Write your solutions clearly and legibly. No credit will be given for illegible solutions. 1. (6 points) Consider the system of linear equations 2 x 1 + 3 x 2 x 3 = 6 , x 1 x 2 + 2 x 3 = 2 , x 1 + 2 x 3 = 2 . (a) Use elementary row operations to write the augmented matrix of the system in echelon form. (b) Find all solutions of the system. If the system has no solutions, explain how you conclude that. (a) 2 3 1  6 1 1 2   2 1 2  2 → 1 2  2 1 1 2   2 2 3 1  6 → 1 2  2 1 4  3 5  2 → → 1 2  2 1 4  7  2 → 1 2  2 1 4  1  2 / 7 (b) 1 2  2 1 4  1  2 / 7 → 1  2 4 / 7 1  8 / 7 1  2 / 7 = 1  10 / 7 1   8 / 7 1  2 / 7...
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This note was uploaded on 04/23/2008 for the course MATH 20F taught by Professor Buss during the Fall '03 term at UCSD.
 Fall '03
 BUSS
 Math, Linear Algebra, Algebra

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