Maple worksheets on matrices |

Vectors, matrices and complex numbers:

- Complex Numbers
- Vectors
- Matrices

The following Maple worksheets can be downloaded.

They are all compatible with

Classic Worksheet Maple 10.

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.