APPM 2360 Final: appm2360fall2017examfinal
Document Summary
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. 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. is. Problem 3: (30 points) below is the trace/determinant plane for x = a x where a is a 2 2 matrix of real numbers. For your convenience, the gure also contains curves that de ne the boundaries of behavior for di erent solutions.