SampleFinal - Math2J Lecture B Name Signature Sample Final...

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Math2J, Lecture B Sample Final Exam UQ09 1 Name: Signature: Instructions: 1. Check that you have pages 1 through 4 and that none are blank. 2. Do not spend too much time on a particular problem. Work the easier problems first. 3. The grading of this exam is based on your method. Show all of your work. If you need additional space, use the backs of the exam pages. 1) Solve the following system of equations: 2 3 1 2 3 1 2 3 3 3 5 9 2 2 3 3 x x x x x x x x + = + + = - + + = 2) Given 2 1 3 2 1 3 0 1 3 4 2 7 1 3 5 0 2 7 1 3 5 4 2 7 5 3 5 A B C = = = - a) Find an elementary matrix E such that EA B = , then find E gG b) Find an elementary matrix F such that AF ± C , then find F gG .
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Math2J, Lecture B Sample Final Exam UQ09 2 3) Use the methods of row reduction or cofactor expansion to compute the determinant of matrix 3 2 1 4 1 3 0 3 3 4 2 8 3 4 0 4 A - - - - = -
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SampleFinal - Math2J Lecture B Name Signature Sample Final...

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