APPM 2360 Midterm: appm2360fall2015exam2

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31 Jan 2019
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On the front of your bluebook write: (1) your name, (2) your student id number, (3) recitation section (4) your instructor"s name, and (5) a grading table. Text books, class notes, and calculators are not permitted. Problem 1: (20 points) for the questions in this problem, no motivation is required. If you do submit work, then box your answer, and know that your work will not be graded. (a) (5 points) two matrices a and b have inverses: Use these to nd the unique solution x to the system (ab)x = (cid:20)1. 0 0 1 value of (i) det(a) (ii) det(b) (iii) det(at b 1at ) Problem 2: (15 points) for the following true/false questions, just state true or false. Your work will not be graded. (a) (3 points) let a be a n n invertible matrix. Then span {v1, v2, v3, v4} 6= r3. (d) (3 points) let a and b be matrices.