USA MA 237 - Linear Systems: Group Problem Solution (2 pages)

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Linear Systems: Group Problem Solution



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Linear Systems: Group Problem Solution

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Pages:
2
School:
University of South Alabama
Course:
Ma 237 - Linear Algebra I
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Linear Systems Group Problem Solution Problem taken from HW 1 2 7a x 2x 2x y y 3y The augmented matrix is 2z 2w 3w 2z 1 1 2 2 2 2 1 3 0 2 3 0 1 0 1 3 2 4 2 7 0 5 2 4 1 2 2 3 5 4 2 7 4 1 0 0 1 0 0 1 4 6 1 2 4 1 3 2 5 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 2 0 1 0 0 0 1 1 4 6 1 2 4 elementary row operation R2 R2 2R1 1 2 4 elementary row operation R3 R3 2R1 2 7 3 4 2 7 3 3 14 23 3 3 2 4 1 2 3 4 elementary row operation 1 2 3 2 3 R2 2 1 7 2 3 3 3 2 1 23 14 14 2 2 1 6 1 0 7 7 23 2 1 14 14 2 4 2 1 6 1 7 7 23 2 14 14 1 R2 3 elementary row operation R3 R3 5R2 elementary row operation R3 3 R3 14 elementary row operation R2 R2 4 R3 3 elementary row operation R2 R2 4 R3 3 The solution 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 x 10 w 11 7 7 y 1 w 6 7 7 23 1 z w 14 7 w w 9 5 7 7 1 6 7 7 23 2 14 14 10 11 7 7 1 6 7 7 23 1 14 7 x 11 10 w 7 7 y 6 1 w 7 7 1 z 23 w 14 14 w w elementary row operation R1 R1 2R3 elementary row operation R1 R1 R2 x 11 7 10 7 y 6 1 7 w 7 z 1 23 7 14 w 0 1


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