MATH 240 Midterm: MATH 240 UPenn 240S08 Exams

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31 Jan 2019
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You need to show your work, even for multiple choice problems. A correct answer with no work will get 0 points. The only exception are true/false problems, where no work needs to be shown. You are not allowed to use a calculator. The extra double sided sheet of paper needs to be hand written in your own hand writing (no copies allowed). (do not ll these in; they are for grading purposes only. ) 4 has eigenvalues 1 = 0 and 2 = 9 (with multiplicity 2). An eigenvector corresponding to 1 is v1 = . And an eigenvector corresponding to 2 is v2 = . 2 matrix p such that p 1ap is diagonal. 0 2 1 0 (c) 4 (d) 8 (e) 2 (f) 8. 5: for each of the following statements, determine whether they are true or false. All the matrices below are assumed to have real entries.