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7.3 Multivariable
Linear Systems
Essential Question:
How do you solve multivariable systems?
Standard: Linear Algebra 1.0
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Pick a system to solve.
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Row-Echelon Form
Pattern:
Leading Coefficient:
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Equivalent Systems
Row operations that create equal systems:
1. Interchanging two equations
2. Multiply one equation by a nonzero number
3. Add a multiple of one equation to another to
replace the latter equation.
AKA- Gaussian Elimination
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Ex. 1) Write the system in row-echelon form and solve.
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Ex. 2) Solve the system using Guassian Elimination and row-
echelon form.
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Types of solutions with 3
variables-
1.
2.
3.
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Ex. 3) Solve the system.
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Ex. 3) Solve the system.
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Assignment:
7.3 p. 527 #1, 5, 9,
12, 16, 19, 32, 39
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