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Unformatted text preview: Name: PID: TA: Sec. No.: Sec. Time: Math 20F: Linear Algebra. Midterm Exam 1 January 21, 2011 Turn off and put away your cell phone. You may use one page of notes, but no books or other assistance during this exam. Read each question carefully, and answer each question completely. Show all of your work; no credit will be given for unsupported answers. If you run out of space on a page, you should continue writing on the back of the same page. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clarification. Question Points Score 1 6 2 12 3 6 4 6 Total: 30 1. (6 points) Consider the following system of linear equations: x 1 + 2 x 2- x 3 =- 3- 2 x 1- 5 x 2 + x 3 = 8 (a) Write down the augmented matrix for this system. Solution: 1 2- 1- 3- 2- 5 1 8 (b) Using row reduction (and showing your work), find the reduced row echelon form for the augmented matrix....
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