nn nn n n n n n n n n n a a a a a a a a a a a a a a a a a a a a Forward

Nn nn n n n n n n n n n a a a a a a a a a a a a a a a

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. . . . . . . . . . . . . . . . . . . . nn nn n n n n n n n n n a a a a a a a a a a a a a a a a a a a a
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Forward Elimination: Algorithm 2 May 2015 ME262 Numerical Analysis Sessional 8 11 12 13 1 1 1 22 23 2 2 1 31 32 33 3 3 1 1 2 3 1 . . 0 . . . . . . . . . . . . . . . . . . . . n n n n n n n n n nn nn a a a a a a a a a a a a a a a a a a a 1 3 2 1 1 3 3 33 32 31 1 2 2 23 22 21 1 1 1 13 12 11 . . . . . . . . . . . . . . . . . . . . . . nn nn n n n n n n n n n a a a a a a a a a a a a a a a a a a a a Multipliers 21 11 2 1 a Row Row a 21 21 21 11 21 22 22 12 21 23 23 13 21 2 1 2 1 1 11 11 1 11 1 1 . . n n n a a a a a a a a a a a a a a a a a a a a
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Forward Elimination: Algorithm 2 May 2015 ME262 Numerical Analysis Sessional 9 1 3 2 1 3 3 33 32 1 2 2 23 22 1 1 1 13 12 11 . . 0 . . . . . . . . . . . . . . . . 0 . . 0 . . nn nn n n n n n n n n a a a a a a a a a a a a a a a a a k=1(After first iteration) 1 3 2 1 1 3 3 33 32 31 1 2 2 23 22 21 1 1 1 13 12 11 . . . . . . . . . . . . . . . . . . . . . . nn nn n n n n n n n n n a a a a a a a a a a a a a a a a a a a a 21 31 11 1 11 1 1 1 1 . . . 1 2 3 n a Row Row a Row Row a R a a n a ow Row
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