## Linear Algebra

Matrix inversion can be a tedious and often unnecessary procedure, but when you need one you should have one that works in all cases and doesn't fail.

- Problem Definition (best to start here)
- - One set of equations will be used for the entire presentation.
- Gaussian Elimination (row operations)
- - This is the method most often taught to students.
- Transposed Gaussian Elimination (column operations)
- - Matrix identities allow us to invert the transposed matrix.
- Multiply Augmented Gaussian Elimination
- - Simple Gaussian Elimination done on the implicitly factored matrix.
- Inverse Demo (see this algorithm in action)
- - Interactive JavaScript demonstration.