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# exam3a06S - MATH230 Spring 2006 Exam 3a Name Section...

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MATH230 Spring 2006 Exam 3a Name:________________________________ Section:___________ Instructions: 1. Do not start until instructed to do so. 2. You may use a calculator and one 3x5 card (front and back) with notes, but nothing else. 3. SHOW ALL WORK to receive full credit. 4. Clearly indicate your answers. 5. The work you turn in must be your own. 1

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1. 2 points Let - = 12 6 3 k A . For what value of k does A not have an inverse? 2. 4 points Let = 4 5 2 3 A , = y x x , and = 1 0 b . Use - - = - 2 / 3 2 / 5 1 2 1 A to solve the matrix equation b Ax = for x . 2
3. 10 points The Trimetal Mining Company operates three mines from which gold, silver, and copper are mined. The Alpha and Beta mines each cost \$1000 per day to operate and each yields 30 ounces of gold, 200 ounces of silver, and 400 pounds of copper each day. The Omega mine costs \$1200 per day to operate and it yields 40 ounces of gold, 400 ounces of silver, and 300 pounds of copper each day.

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