Linear Algebra Resources
Linear Algebra Resources
Interactive Exercises
Tampere University of Technology, Department of Mathematics.
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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.
Terence Tao's home page
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Multiple Choice Questions
Applet:link
This applet has a bunch of multiple choice quizzes for various standard topics, including linear algebra.
Interactive Demonstrations
Terence Tao's home page
Java applets in Linear algebra.
- 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.
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Eigenvalues and eigenvectors
Applet:link
This applet computes eigenvalues. It also
shows the [lines spanned by the] eigenvectors.
Mathematics Resource Center.
Indian Institute of Technology, Bombay, India.
Applets in Linear Algebra
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Spanning planes in R^3.
Applet:
Linear Independence/Dependence in R
This applet helps to see, how two vectors span a plane in R^3. You can manage to produce two
linearly dependent vectors in R^3, but you need to have a solid skill in using the mouse.
Articles on Teaching Linear Algebra
Teaching Linear Algebra: Issues and Resources by Jane M. Day and Dan Kalman. May, 2001.
Teaching Linear Algebra: What are the Questions? by Jane M. Day and Dan Kalman. January, 19, 1999.
Humour
Declaration of Linear Independence