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Ee1034bS10 - The Basic Idea of Gauss Elimination or...

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The Basic Idea of Gauss Elimination or Pivoting nonsingula , x , N n n is if r 1. , 2. , 3 N has an inverse OR The rows of N are linearly independent OR The columns of N are linearly independent Ax b x 3. , , NAx Nb x EE103 SLIDES 4B (SEJ) 1 Example of Complete Gauss Elimination (CGE) 1 2 3 1 2 3 1 3 2 1 4 1 0 0 a a a b e e e x 2 3 6 2 2 8 0 1 0 3 1 2 9 0 0 1 x x A b I 1 1 2 3 3 6 3 e g a e e e . ., 1 2 3 0 3 3 3 x B e e e I [ , , ] 1 2 3 4 8 9 b e e e abasis matrix for R EE103 SLIDES 4B (SEJ) 2
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