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Answer: Use Gaussian elimination with backward substitution and two-digit rounding

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 3 Chapter 6.1

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 3

Use Gaussian elimination with backward substitution and two-digit rounding arithmetic to solve the following linear systems. Do not reorder the equations. (The exact solution to each system is X\ 1, X2 = 1, X3 = 3.) a. 4x1 *2+ X3 = 8, 2xi + 5x2 + 2x3 = 3, X] 2x2 4" 4x3 = 11 b. 4x|-i- X2 + 2x3 = 9, 2xi +4x2 +3 = 5, U + *2 3x3 = 9.

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Step 1 of 3

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Step 2 of 3

Chapter 6.1, Problem 3 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. The full step-by-step solution to problem: 3 from chapter: 6.1 was answered by , our top Math solution expert on 03/16/18, 03:24PM. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. Since the solution to 3 from 6.1 chapter was answered, more than 460 students have viewed the full step-by-step answer. The answer to “Use Gaussian elimination with backward substitution and two-digit rounding arithmetic to solve the following linear systems. Do not reorder the equations. (The exact solution to each system is X\ 1, X2 = 1, X3 = 3.) a. 4x1 *2+ X3 = 8, 2xi + 5x2 + 2x3 = 3, X] 2x2 4" 4x3 = 11 b. 4x|-i- X2 + 2x3 = 9, 2xi +4x2 +3 = 5, U + *2 3x3 = 9.” is broken down into a number of easy to follow steps, and 73 words.

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Answer: Use Gaussian elimination with backward substitution and two-digit rounding