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  • Linear systems and matrices

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  • Matrix equations
  • Linear systems and echelon matrices
  • A linear system is equivalent to a matrix equation.
  • A linear system is equivalent to a vector equation.
  • Terminology
  • Using matrices to solve linear systems
  • Row-equivalent augmented matrices represent equivalent systems

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  • Example of solving a 3-by-3 system of linear equations by row-reducing the augmented matrix
  • Example of solving a 3-by-3 homogeneous system of linear equations by row-reducing the augmented matrix
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  1. Using matrices to solve linear systems

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