9.11 Given the equations 2x, - 6x2 – x3 = -38 -3x, - x2 + 7x3 = -34 -8x, + x2 - 2x3 = -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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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9.11 Given the equations
2x, - 6x2 – x3 = -38
-3x, - x2 + 7x3 = -34
-8x, + x2 - 2x3 = -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.
Transcribed Image Text:9.11 Given the equations 2x, - 6x2 – x3 = -38 -3x, - x2 + 7x3 = -34 -8x, + x2 - 2x3 = -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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