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Given the equations 10x1 + 2x2-X3 = 27 -3x1 - 5x2 + 2x3 = -61.5 X1 + x2 + 6x3 = -21.5 %3D a) Solve by Gauss elimination. Show all steps of the computation. b) Substitute your results into the original equations to check your answers.

Given the equations 10x1 + 2x2-X3 = 27 -3x1 - 5x2 + 2x3 = -61.5 X1 + x2 + 6x3 = -21.5 %3D a) Solve by Gauss elimination. Show all steps of the computation. b) Substitute your results into the original equations to check your answers.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the equations 10x1 + 2x2 -x3 = 27 -3x1 - 5x2 + 2x3 = -61.5 %3D X1 + x2 + 6x3 = -21.5 a) Solve by Gauss elimination. Show all steps of the computation. b) Substitute your results into the original equations to check your answers.
Transcribed Image Text:Given the equations 10x1 + 2x2 -x3 = 27 -3x1 - 5x2 + 2x3 = -61.5 %3D X1 + x2 + 6x3 = -21.5 a) Solve by Gauss elimination. Show all steps of the computation. b) Substitute your results into the original equations to check your answers.
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