   Chapter 11.CT, Problem 8CT ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# TEST7-8 ■ Use Gauss Jordan elimination to find the complete solution of the system. x + 3 y − z = 0 3 x + 4 y − 2 z = − 1 − x + 2 y = 1

To determine

To find:

The complete solution of the given system.

Explanation

Given:

The system of equations is

x+3yz=03x+4y2z=1x+2y=1

Approach:

1. Write the augmented matrix of the system.

2. Convert the augmented matrix into reduced row echelon form by using elementary row operations.

Calculation:

Augmented matrix of the system of equation is



Applying R2R23R1 in the above matrix.



Applying R3R3+R1 in the above matrix.



Applying R2R25 in the above matrix

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