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# Pc 7.3 notes

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### Pc 7.3 notes

1. 1. February 29, 20127.3 MultivariableLinear SystemsEssential Question:How do you solve multivariable systems?Standard: Linear Algebra 1.0 1
2. 2. February 29, 2012Pick a system to solve. 2
3. 3. February 29, 2012Row-Echelon FormPattern:Leading Coefficient: 3
4. 4. February 29, 2012Equivalent SystemsRow operations that create equal systems:1. Interchanging two equations2. Multiply one equation by a nonzero number3. Add a multiple of one equation to another toreplace the latter equation. AKA- Gaussian Elimination 4
5. 5. February 29, 2012Ex. 1) Write the system in row-echelon form and solve. 5
6. 6. February 29, 2012Ex. 2) Solve the system using Guassian Elimination and row-echelon form. 6
7. 7. February 29, 2012Types of solutions with 3variables- 1. 2. 3. 7
8. 8. February 29, 2012 8
9. 9. February 29, 2012Ex. 3) Solve the system. 9
10. 10. February 29, 2012Ex. 3) Solve the system. 10
11. 11. February 29, 2012Assignment:7.3 p. 527 #1, 5, 9,12, 16, 19, 32, 39 11