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Published byDominick Randall Modified over 9 years ago
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Section 9.3 Systems of Linear Equations in Several Variables Objectives: Solving systems of linear equations using Gaussian elimination.
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Ex 1. Solve the system using Gaussian elimination.
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Ex 2. Solve using Gaussian elimination.
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Class Work 1. Solve using Gaussian elimination.
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Number of Solutions of a Linear System For a system of linear equations, exactly one of the following is true. 1.The system has exactly one solution. 2.The system has no solution. 3.The system has infinetly many solutions.
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For a system to have exactly one solution we have three planes intersecting in one point.
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For a system to have no solutions the planes have no point in common.
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For a system to have infinitely many solutions the three planes intersect in a line.
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Ex 3. Solve the following system using Gaussian elimination.
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Ex 4 Solve the system using Gaussian elimination.
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Class Work Solve using Gaussian elimination. 2. 3.
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Class Work 4.
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HW p658 17 - 25 odd, 33
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