20 points Given A = 2 1 4 1 ,...

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MA 114 Exam 1 - Version C February 23, 2017 Instructions : Read all questions very carefully. Before you begin please write your name, your version of the test, seat number and section of the room (left, center, or right) on the front of your blue book. All work should be written in your blue book, nothing written on the test will be graded. You may do problems out of order, as long as they are clearly labeled, but please start each question on a fresh page (the back is fine). Write neatly. Show your work for full credit and clearly identify your final answer. No notes, formula sheets, phones, graphing or symbolic calculators, or friends are allowed (basic or scientific calculators are acceptable). Good luck! 1. [20 points] Given A = 2 1 4 1 , B = 1 3 2 1 find A + B and A - 3 B . 2. [20 points] Given A = 2 1 1 4 1 1 , c = 2 1 - 1 , b = 1 2 and v = x y z . CConstruct the following linear programming problem. Do NOT solve . (Write your answer in terms of x, y and z.) You need to take the matrix multiplication to get the full credit. Maximize c · v subject to

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