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7.3 Multivariable Systems

7.3 Multivariable Systems. Row-echelon form. Solve the following system that is in row-echelon form. Answer. Start at the bottom because it is already solved for the variable. Gaussian Elimination. Row operations-transform system into equivalent system 1. Interchange 2 equations

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7.3 Multivariable Systems

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  1. 7.3 Multivariable Systems

  2. Row-echelon form • Solve the following system that is in row-echelon form.

  3. Answer • Start at the bottom because it is already solved for the variable

  4. Gaussian Elimination • Row operations-transform system into equivalent system • 1. Interchange 2 equations • 2. Multiply equation by nonzero constant • 3. Add equation to multiple of another equation • Solve a system by transforming it into row-echelon form = Gaussian elimination

  5. Gaussian elimination • Solve with Gaussian elimination

  6. Gauss elimination • Solve using Gaussian elimination

  7. Answer • Place in row echelon form using row operations

  8. Gauss elimination • Solve using Gaussian elimination

  9. Answer • Place in row echelon form using row operations

  10. Gauss elimination • Solve using Gaussian elimination

  11. Answer • Place in row echelon form using row operations

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