# quiz1 - Quiz 1 of Math 571(Su11 The Ohio State University...

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Quiz 1 of Math 571 (Su11) June 23, 2011 The Ohio State University This quiz consists of two (2) pages and two (2) problems and is worth a total of 50 points. The point value of each problem is indicated. You may use MATLAB to check your results. However, to obtain full credit, you must show the correct answers along with relevant supporting work to justify them. Partial credit will be given based on the work that is shown. However, answers without sufﬁcient supporting work will receive no credit. Also, you must complete the exam in 30 minutes. Good luck! Name: Signature: OSU Internet Username: 1. Consider a linear system whose augmented matrix is given by ( A b ) = x 1 x 2 x 3 = rhs 1 2 1 1 - 1 4 3 2 2 - 2 α β , where α and β are scalars. (a) (15) Perform elementary row operations on ( A b ) to transform A into a matrix in upper trian- gular form. Solution: 1 2 1 1 - 1 4 3 2 2 - 2 α β R 3 R 3 - 2 R 1 -→ 1 2 1 1 - 1 4 3 2 0 - 6 α - 2 β - 2 R

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quiz1 - Quiz 1 of Math 571(Su11 The Ohio State University...

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