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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter B, Problem 8P

Textbook Problem

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Solve the following system of simultaneous equations by the Gauss-Jordan method.

5*x*_{1} − 2*x*_{2} + 6*x*_{3} = 0

−2*x*_{1} + 4*x*_{2} + *x*_{3} + 3*x*_{4} = 18

6*x*_{1} + *x*_{2} + 6*x*_{3} + 8*x*_{4} = −29

3*x*_{2} + 8*x*_{3} + 7*x*_{4} = 11

To determine

Use the Gauss Jordan method to solve the simultaneous equations.

Given information:

Calculation:

Write the system in the matrix form:

Write the augmented matrix:

Divide the first row by 5.

In the second row, subtract the first row multiplied with 2 from second row.

In the third row, subtract the first row multiplied with 6 from third row.

Divide the second row by 16/5.

In the first row, subtract the second row multiplied with

In the third row, subtract the second row multiplied with

In the fourth row, subtract the second row multiplied with 3 from fourth row.

Divide the third row by

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