Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9789814670876
Author: Chapra
Publisher: BOOKXCHANG
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Chapter 9, Problem 11P

Given the equations

2 x 1 6 x 2 x 3 = 38 3 x 1 x 2 + 7 x 3 = 34 8 x 1 + x 2 2 x 3 = 20

(a) Solve by Gauss elimination with partial pivoting. Show all steps of the computation.

(b) Substitute your results into the original equations to check your answers.

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5- Solve the following linear algebraic equations using the Gauss elimination method: 3x, - 2x2 + 7x3 = 20 * + 6x2 - x3 = 10 10x, - 2x2 + 7x3 = 29 (Ans: x1 = 1.2857, *2 = 1.9286, *3 = 2.8571)
2w+x+3y-z=6 w-x+2y-2z=-1 w-x-y+z=-4 -w+2x-2y-z=-7 Solve using the Gauss elimination method with 4 variables.
25=x 2+y2 3y=2x+6 Solve the following systems involving quadratic equations using any appropriate method.
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