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mws_gen_sle_ppt_gaussian(1)

# mws_gen_sle_ppt_gaussian(1) - Gaussian Elimination Major...

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Gaussian Elimination Major: All Engineering Majors Author(s): Autar Kaw http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates

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Naïve Gauss Elimination http://numericalmethods.eng.usf.edu
Naïve Gaussian Elimination A method to solve simultaneous linear equations of the form [A][X]=[C] Two steps 1. Forward Elimination 2. Back Substitution

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Forward Elimination = 2 . 279 2 . 177 8 . 106 1 12 144 1 8 64 1 5 25 3 2 1 x x x The goal of forward elimination is to transform the coefficient matrix into an upper triangular matrix = 735 . 0 21 . 96 8 . 106 7 . 0 0 0 56 . 1 8 . 4 0 1 5 25 3 2 1 x x x