Math251_Quiz2_Fall200708

Math251_Quiz2_Fall200708 - AMERICAN UNIVERSITY OF BEIRUT...

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Unformatted text preview: 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 1. (16 points) Consider the following square matrix: 2- 2 3 7 4 4 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 (continued...) 3 (b) (7 points) Specify the elements of the 4 by 4 matrices P , L and U which verify: P A = LU and give the determinant of the original matrix A 4 2. (14 points) Consider the following2....
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Math251_Quiz2_Fall200708 - AMERICAN UNIVERSITY OF BEIRUT...

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