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practice_exam1_532_fall21_sol
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CS/ECE/ME 532 Practice Midterm Exam 1 — 2021 Each problem is 25 points. Name: 1. 2. 3. 4. (total score) 1. Answer the following questions. Make sure to explain your reasoning. a. Are the c... olumns of the following matrix linearly independent? Are they orthogonal? A = +0.5 +0.5 −0.5 +0.5 +0.5 −0.5 −0.5 −0.5 b. Are the columns of the following matrix linearly independent? A = +1 +1 +1 −1 +1 −1 +1 −1 −1 c. What is the rank of the following matrix? A = +2 +1 −2 +1 +2 −1 d. Suppose the matrix in part c is used in the least squares optimization minx kb − Axk2. Does a unique solution exist? [Show More]
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