APPM 2360 Final: appm2360fall2017examfinal_sol

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31 Jan 2019
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On the front of your bluebook write: (1) your name, (2) final /instructors name, (3) your lecture section number and (4) a grading table. Text books, class notes, cell phones and calculators are not permitted. Problem 1: (36 points) true/false (answer true if it is always true otherwise answer false. A basis is the set of 10 matrices having only one entry on or above the diagonal equal to 1, and the rest of the entries 0. (f) false, this is guaranteed by picard"s theorem only if f. Problem 2: (30 points) short answer for the following problems. Consider the subset w which contains matrices with zeros in the second row i. e. a21 = a22 = 0. If not, give one counterexample. (c) the reduced row-echelon form of the matrix. Compute the coe cients to express the last column of a through the basis vectors of the column space of a.