Explanation Formula used: The procedure to solve the system of liner equation using Gauss –elimination, Step-1: The first unknown x 1 is eliminated from the last remaining equations by subtracting multiples of the first equation. Step-2: The second unknown x 2 is eliminated from the last remaining equations by subtracting multiples of the reduced second equation. Step-3: The third unknown x 3 is eliminated from the last remaining equations by subtracting multiples of the reduced third equation. Step-4: The nth unknown x n is eliminated from the last remaining equations by subtracting multiples of the reduced nth equation. Step-5: Continue above step until all system becomes uncoupled system. Calculation: Consider the system of equation: − x 1 + 3 x 2 = 0 …… (1) − 3 x 1 + 9 x 2 = 0 …… (2) To eliminate x 1 divide the equation (2) by 3: − x 1 + 3 x 2 = 0 …… (1) − x 1

Fundamentals of Differential Equations and Boundary Value Problems

7th Edition

ISBN: 9780321977106

Author: Nagle, R. Kent

Publisher: Pearson Education, Limited

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Chapter 9.2, Problem 7E

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To solve: The system of equation −x1+3x2=0 and −3x1+9x2=0 using the Gauss-Jordan elimination algorithm.

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Chapter 9.2, Problem 6E

Chapter 9.2, Problem 8E

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The system of equation − x 1 + 3 x 2 = 0 and − 3 x 1 + 9 x 2 = 0 using the Gauss-Jordan elimination algorithm.

Solution Summary: The author explains the Gauss-Jordan elimination algorithm used to solve the system of liner equation.

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To solve: The system of equation −x1+3x2=0 and −3x1+9x2=0 using the Gauss-Jordan elimination algorithm.

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