Linear Algebra - Matrix Inversion &c.

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.