Explanation Given: The provided system of linear equations is x 1 + x 2 − 2 x 3 + 3 x 4 + 2 x 5 = 9 3 x 1 + 3 x 2 − x 3 + x 4 + x 5 = 5 2 x 1 + 2 x 2 − x 3 + x 4 − 2 x 5 = 1 4 x 1 + 4 x 2 + x 3 − 3 x 5 = 4 8 x 1 + 5 x 2 − 2 x 3 − x 4 + 2 x 5 = 3 . Calculation: Consider the given system of linear equations. Let x 1 + x 2 − 2 x 3 + 3 x 4 + 2 x 5 = 9 → ( 1 ) 3 x 1 + 3 x 2 − x 3 + x 4 + x 5 = 5 → ( 2 ) 2 x 1 + 2 x 2 − x 3 + x 4 − 2 x 5 = 1 → ( 3 ) 4 x 1 + 4 x 2 + x 3 − 3 x 5 = 4 → ( 4 ) 8 x 1 + 5 x 2 − 2 x 3 − x 4 + 2 x 5 = 3 → ( 5 ) The corresponding augmented matrix representing the given system is a 3 × 4 matrix as shown below ( 1 1 − 2 3 2 9 3 3 ȡ

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN: 9781305658004

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 1.2, Problem 40E

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To solve:

The system of linear equations using a software program or a graphing utility.

x1+x2−2x3+3x4+2x5=93x1+3x2−x3+x4+x5=52x1+2x2−x3+x4−2x5=14x1+4x2+x3−3x5=48x1+5x2−2x3−x4+2x5=3

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Chapter 1.2, Problem 39E

Chapter 1.2, Problem 41E

Chapter 1 Solutions

Elementary Linear Algebra (MindTap Course List)

Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...

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The system of linear equations using a software program or a graphing utility. x 1 + x 2 − 2 x 3 + 3 x 4 + 2 x 5 = 9 3 x 1 + 3 x 2 − x 3 + x 4 + x 5 = 5 2 x 1 + 2 x 2 − x 3 + x 4 − 2 x 5 = 1 4 x 1 + 4 x 2 + x 3 − 3 x 5 = 4 8 x 1 + 5 x 2 − 2 x 3 − x 4 + 2 x 5 = 3

Solution Summary: The author explains how to solve the system of linear equations using a software program or graphing utility.

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To solve:

The system of linear equations using a software program or a graphing utility.

x1+x2−2x3+3x4+2x5=93x1+3x2−x3+x4+x5=52x1+2x2−x3+x4−2x5=14x1+4x2+x3−3x5=48x1+5x2−2x3−x4+2x5=3

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Chapter 1 Solutions

The system of linear equations using a software program or a graphing utility. x 1 + x 2 − 2 x 3 + 3 x 4 + 2 x 5 = 9 3 x 1 + 3 x 2 − x 3 + x 4 + x 5 = 5 2 x 1 + 2 x 2 − x 3 + x 4 − 2 x 5 = 1 4 x 1 + 4 x 2 + x 3 − 3 x 5 = 4 8 x 1 + 5 x 2 − 2 x 3 − x 4 + 2 x 5 = 3

Solution Summary: The author explains how to solve the system of linear equations using a software program or graphing utility.

Videos

To solve: The system of linear equations using a software program or a graphing utility. x1+x2−2x3+3x4+2x5=93x1+3x2−x3+x4+x5=52x1+2x2−x3+x4−2x5=14x1+4x2+x3−3x5=48x1+5x2−2x3−x4+2x5=3

Want to see the full answer?

Chapter 1 Solutions

To solve:

The system of linear equations using a software program or a graphing utility.

x1+x2−2x3+3x4+2x5=93x1+3x2−x3+x4+x5=52x1+2x2−x3+x4−2x5=14x1+4x2+x3−3x5=48x1+5x2−2x3−x4+2x5=3