Programs for linear algebra computations:   Since the methods of linear algebra are widely applicable, there are many programs for linear algebra. There are several program systems widely available: Matlab, Maple, and Mathematica.
To supplement our class material, you can find several worksheets demonstrating concepts covered in class below. When going through the worksheets, I encourage you to modify the examples there:

Maple

• here is a worksheet on matrix multiplication (Section 1.3): multiply.mws
  
• here is a worksheet on geometry and solving systems of linear equations (Section 1.4): linear_systems.mws
  
• a quick guide on linear algebra functions in maple can be found here
  
• linear algebra tutorial in maple: here     (a local copy is available here)
  
• Maple
  

Matlab

• an introduction to linear algebra in matlab
  
• Matlab
  

Mathematica

• Mathematica