# Section 9.3 Systems of Linear Equations in Several Variables - PowerPoint PPT Presentation

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## Section 9.3 Systems of Linear Equations in Several Variables

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### Section 9.3 Systems of Linear Equations in Several Variables Objectives: Solving systems of linear equations using Gaussian elimination. Ex 1. Solve the system using ... – PowerPoint PPT presentation

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Title: Section 9.3 Systems of Linear Equations in Several Variables

1
Section 9.3 Systems of Linear Equations in
Several Variables
• Objectives
• Solving systems of linear equations using
Gaussian elimination.

2
Ex 1. Solve the system using Gaussian
elimination.
3
Ex 2. Solve using Gaussian elimination.
4
Class Work
• 1. Solve using Gaussian elimination.

5
Number of Solutions of a Linear System
• For a system of linear equations, exactly one of
the following is true.
• The system has exactly one solution.
• The system has no solution.
• The system has infinetly many solutions.

6
For a system to have exactly one solution we have
three planes intersecting in one point.
7
For a system to have no solutions the planes have
no point in common.
8
For a system to have infinitely many solutions
the three planes intersect in a line.
9
Ex 3. Solve the following system using Gaussian
elimination.
10
Ex 4 Solve the system using Gaussian elimination.
11
Class Work
• Solve using Gaussian elimination.
• 2. 3.

12
Class Work
• 4.

13
HW p658 17 - 25 odd, 33