Algebra › Section D · Systems of linear equations › Topic D.6

Solving systems with matrices

A matrix is a system with the variables peeled off — just the numbers in a grid. Row operations then mechanise elimination until the answer simply sits in the last column.

In this topic

  • Matrices: elimination organised
  • Writing the augmented matrix
  • The three row operations
  • Row-echelon form and back-substitution
  • Worked example: a two-by-two system
  • Worked example: three equations, three variables
  • Special cases read straight off the matrix
  • Why matrices earn their keep
  • Common mistakes to avoid
  • Key takeaways

This topic is part of Wuanberri Pro. Checking your access…

← Previous topicNext topic →