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 become uncoupled system. Calculation: Consider the system of equation: ( 1 − i ) x 1 + 2 x 2 = 0 …… (1) − x 1 − ( 1 + i ) x 2 = 0 …… (2) Multiple the equation (2) by ( 1 − i ) : − ( 1 − i ) x 1 − ( 1 + i ) ( 1 − i ) x 2 = 0 − ( 1 − i ) x 1 − ( 1 − i 2 ) x 2 = 0 [ i 2 = − 1 ] − ( 1 − i ) x 1 − ( 1 + 1 ) x 2 = 0 − ( 1 − i ) x 1 − 2 x 2

Fundamentals of Differential Equations [With CDROM] - 7th Edition

7th Edition

ISBN: 9780321410481

Author: Saff, Edward B., Snider, Arthur David, Nagle, R. Kent

Publisher: Addison Wesley

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Chapter 9.2, Problem 9E

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To solve: The system of equation (1−i)x1+2x2=0 and −x1−(1+i)x2=0 using the Gauss-Jordan elimination algorithm.

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Chapter 9.2, Problem 8E

Chapter 9.2, Problem 10E

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

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

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To solve: The system of equation (1−i)x1+2x2=0 and −x1−(1+i)x2=0 using the Gauss-Jordan elimination algorithm.

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Chapter 9 Solutions