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  • Linear systems and matrices

Siblings7
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  • A linear system is equivalent to a vector equation.
  • A linear system is equivalent to a matrix equation.
  • Terminology
  • Using matrices to solve linear systems
  • Matrix equations
  • Row equivalent matrices represent equivalent linear systems
  • Linear systems and echelon matrices

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  • The echelon form can be used to determine if a linear system is consistent.
  • Example of using the echelon form to determine if a linear system is consistent.
  • The number of pivots in the reduced row echelon form of a consistent system determines whether there is one or infinitely many solutions.
  • The number of pivots in the reduced row echelon form of a consistent system determines the number of free variables in the solution set.
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