- Interesting applications of matrix multiplication. (e.g. path counting via adjacency matrices, Markov chains, exchange economies.)
- Geometry of linear transformations.
- Fitting data to equations. (Direct and via determinants.)
- Explore interesting matrix groups.
- Least squares and overdetermined systems.
- Behavior of algorithms (e.g. least squares) when they nearly fail.
- Traffic flows and linear equations.
- Codes obtained via matrix multiplication.
- Roundoff error in matrix operations.
- Convergence of power series in matrices.
- Computer assistance for Gram-Schmidt either geometrically or for orthogonal polynomials.
- Powers of matrices and eigenvalues.
- Difference equations.
- Geometry of diagonalizing quadratic forms.
- Interpretation of linear ODE solutions (e.g damped driven harmonic oscillators.)
**Web Resources:****Mathlab:**- http://www.mathlab.cornell.edu/computer_and_portfolio/index.html#LINALG
**Connected Curriculum Project:**-

http://www.math.duke.edu/education/ccp/materials/linalg/index.html **Row Operations Applet:**-

http://people.hofstra.edu/faculty/Stefan_Waner/tutorialsf1/javapiv.html **Linear Transformation Applet:**- http://math.smith.edu/patela/Applets/transf_index.html
**Images of Transformations Applet:**- http://www.ies.co.jp/math/java/misc/lintra/lintra.html