Coefficient and augmented matrices


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Coefficient and augmented matrices


  • Given a system of linear equations: a system of linear equations
  • It can be very time consuming to write this out.
  • Instead, we can omit the variables and write the coefficients as a matrix: the coefficients of the system as a matrix
  • This is called a coefficient matrix
  • We can add an extra column to this matrix to also store the values on the right side of the equals sign: the coefficient matrix with an extra column for the values
  • This is called an augmented matrix.
  • Augmented matrices are easier and clearer to work with than fully explicit systems of linear equations.


1 & 1 & 1 \\
1 & 2 & 3 \\
3 & 6 & -1
5 \\
3 \\