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Unformatted text preview: MAE 107 – Computational Methods Summer Session II 2009 Midterm Wednesday, August 19 4 problems + 5 short questions – 40 points Guidelines : This is a closed book and closed notes 1h30 exam. No calculator or computer allowed . Clearly explain your answers to each question and write your solution neatly. Detail all necessary intermediate steps and clearly identify your final answers (e.g. box them in). Do not forget to put your name and student ID on your test and staple/attach all the pages together. Problem 1 – 10 points Consider the matrix A = 3 2- 3- 3 2 6 4 4 . 1. Obtain the LU decomposition of A = L · U using the Forward Elimination procedure of Gauss elimination without pivoting. L should be a lower triangular matrix with diagonal coefficients equal to 1. U should be an upper triangular matrix. 2. Using this decomposition, compute the determinant of A . Check your answer by computing | A | directly. Comment on the existence and unicity of the solution x of the linear system...
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This note was uploaded on 10/11/2011 for the course MAE 107 taught by Professor Rottman during the Summer '08 term at UCSD.
- Summer '08