Math251_Quiz2_Fall200708 - AMERICAN UNIVERSITY OF BEIRUT...

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AMERICAN UNIVERSITY OF BEIRUT Faculty of Arts and Sciences Mathematics Department MATH 251 QUIZ II FALL 2007-2008 Closed Book, 75 MINUTES WRITE YOUR ANSWERS ON THE QUESTION SHEET STUDENT NAME ID NUMBER Problem Out of Grade 1 16 2 14 3 12 4 8 TOTAL 50 1
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1. (16 points) Consider the following square matrix: 2 - 2 3 7 4 4 0 7 2 1 1 3 6 5 4 17 (a) (9 points) Apply on this matrix, Gauss Elimination with the scaled partial pivoting strategy , showing the status of the 4 by 4 matrix after each elimination, i.e. each of the pivot rows and the corresponding multipliers should be identified and circled. Reduction 1: Changing Matrix Coefficients scales Including Multipliers s 2
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(b) (7 points) Specify the elements of the 4 by 4 matrices P , L and U which verify: PA = LU and give the determinant of the original matrix A 4
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2. (14 points) Consider the following n * n
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