   Chapter 11.CR, Problem 13E ### 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

# 13 − 20 Gauss-Jordan elimination Use Gauss-Jordan elimination to find the complete solution of system, or show that no solution exists. { x − y + 3 z = 2 2 x + y + z = 2 3 x + 4 z = 4

To determine

To find:

The complete solution of the system of equations,

xy+3z=22x+y+z=23x+4z=4.

Explanation

Approach:

1. Write the Augmented Matrix.

2. Convert into Row-Echelon Form.

3. Use the Back-Substitution.

Calculation:

Augmented Matrix: 

Using Row Operation,

R2R22R1 

R213R2 

R3R33R1 

R3R33R2 [113201

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