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MAT-NYC-ExercisesElimination - 3 x 4 y 5 z = 17 3 x 4 y 6 z...

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201-NYC Exercises on Elimination 1. Solve the following systems of linear equations by Gaussian elimination with back-substitution . x 1 - 2 x 2 - 4 x 3 + 13 x 4 = - 11 - 3 x 1 + 8 x 2 + 16 x 3 - 49 x 4 = 45 2 x 1 - 2 x 2 - 3 x 3 + 14 x 4 = - 6 - 6 x 2 - 14 x 3 + 35 x 4 = - 44
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2. Solve the following system of linear equations by Gauss-Jordan elimination
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Unformatted text preview: 3 x + 4 y + 5 z = 17 3 x + 4 y + 6 z = 20 x + 2 y + 3 z = 9 b) 3 x-11 y + 11 z =-24-2 x + 7 y-9 z = 14-2 x + 8 y-4 z = 18 Answers: 1. x 1 = 1, x 2 =-2, x 3 = 4, x 4 = 0 2 a) x = 2, y =-1, z = 3 b) no solution...
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