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.

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