   Chapter 11.CR, Problem 15E ### 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

# Gauss-Jordan elimination Use Gauss-Jordan elimination to find the complete solution of system, or show that no solution exists. { x − y + z − w = 0 3 x − y − z − w = 2

To determine

To find:

The complete solution of the system or show no solution exists.

{xy+zw=03xyzw=2

Explanation

Given:

The system of equations is:

xy+zw=03xyzw=2

Approach:

To solve the system of equations using Gauss-Jordan elimination, following steps are to be carried out:

1. Augmented Matrix is obtained.

2. Use elementary row operations to obtain reduced row-echelon form.

Calculation:

Augmented Matrix for the given system of equations is:



Use row operations as shown below:

R2R23R1; 

R212R2; 

R1R1+R2; [10<

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