Maple worksheets on matrices


Vectors, matrices and complex numbers:

The following Maple worksheets can be downloaded.

They are all compatible with Classic Worksheet Maple 10.

Matrix multiplication

An introduction to matrices - matintro.mws

  • What is a matrix?
  • Addition and subtraction of matrices, and multiplication by a real number.
  • Matrix multiplication.
  • Properties of matrix multiplication. 
  • The identity matrix and inverse matrices.
  •  Using matrices to solve a linear system of equations.

Gaussian elimination and Gauss-Jordan elimination - gausselim.mws

  • Solving a system of linear equations by Gaussian elimination.
  • Examples.
  • Calculation of inverse matrices by Gauss-Jordan elimination.

Determinants - determ.mws

  • The determinant of a 2 x 2 matrix.
  • The determinant of a 3 x 3 matrix.
  • The determinant of a 4 x 4 matrix.
  • Properties of determinants.

Cramer's rule - cramer.mws

  • Cramer's rule for the solution of a system of 2 linear equations in 2 variables.
  • Examples.
  • Cramer's rule for the solution of a system of 3 linear equations in 3 variables.
  • Examples.

Eigenvalues and eigenvectors - eigenval.mws

  • Systems of equations with infinitely many solutions and singular matrices.
  • Eigenvalues and eigenvectors.
  • Examples.

Top of page

Main index