Matrices are used in a huge variety of applications within engineering, computing and business. They are particularly useful for encrypting data and forecasting from given data. Using matrices allows for much larger and more complex systems of linear equations to be solved easily.

How do you set up a system of linear equations using matrices?

• Note that for a system of linear equations to have a?unique?solution, the matrix must be?invertible?and therefore must be a?square?matrix
  • In exams, only invertible matrices will be given (except when solving for eigenvectors)
• You should be able to use matrices to solve a system of up to?two?linear equations both?with and without?your GDC
• You should be able to use a mixture of matrices and technology to solve a system of up to?three?linear equations

How do you solve a system of linear equations with matrices?