Interactive Exercises

• Interactive Exercises on Matrix Algebra
  Exercises: link
  These exercises allow one to practise basic computational skills, such as multiplying matrices or finding eigenvalues, etc.
  A random problem is generated, and then your answer is checked. You can also see the correct answer.

• Multiple Choice Questions
  Applet:link
  This applet has a bunch of multiple choice quizzes for various standard topics, including linear algebra.
  

Interactive Demonstrations

• Linear transformations on R^2
  Applet:link
  This applet illustrates linear transformations from R^2 to R^2.
  One can input the standard matrix or choose a pre-defined transformation.
  One can also draw curves by mouse and see that the area is multiplied by the determinant.
• Eigenvalues and eigenvectors
  Applet:link
  This applet computes eigenvalues. It also shows the [lines spanned by the] eigenvectors.