For this example, can you explain the backwards substitutions I understand everything else now Example of Gaussian Elimination Solve 2x1 4X2 X3 6 3X1 X2 X3 11 X1 X2 X3 3 Gaussian elimination 2 41 6 2 4 1 6 3 1 1 11 row2 (3 2) row1 0 5 1 2 2 1 1 1 3 row3 (1 2) row1 0 3 3 2 6 row3 (3 5) row2 2 4 1 6 5 1 2 2 0 0 6 5 36 5 Backward substitution X3 ( 36 5) ( 6 5) 6 X2 (2 (1 2) 6) 5 1 X1 (6 6 4 1) 2 2

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For this example, can you explain the backwards substitutions  I understand everything else now Example of Gaussian Elimination Solve 2x1   4X2   X3   6 3X1   X2   X3   11 X1  X2   X3  3 Gaussian elimination 2  41 6 2  4 1 6 3  1 1 11 row2   (3 2) row1 0 5  1 2 2 1 1  1  3 row3   (1 2) row1 0 3  3 2  6 row3 (3 5) row2 2  4 1 6 5  1 2 2 0 0  6 5 36 5 Backward substitution X3   ( 36 5)   ( 6 5)   6 X2   (2 (1 2) 6)  5  1 X1   (6 6  4 1) 2  2

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Question: For this example, can you explain the backwards substitutions? I understand everything else now Example of Gaussian Elimination Solve 2x1 - 4X2 + X3 =

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