__The basics__

- Basic matrix operations. 1) Spreadsheet example; 2) Information on Mdeterm command
- Solving simultaneous equations by inverting a matrix.
- Spreadsheet example - solving simultaneous equations by inverting a matrix; 1) Information on Minverse; 2) Information on Mmult
- Matlab example - solving simultaneous equations by inverting a matrix

__Advanced material__

- Solving simulateous equations when inverting a matrix is not practical

2) Gauss-Jordan

3) Difference between Gauss Elimination and Gauss Jordan method (youtube video)

4) Jacobi method and Gauss-Seidel method (both are iteration methods)

- What if the matrix algorithm complains the matrix cannot be inverted?

2) Handling singular matrices in Matlab

- Why do we care about this in meteorology? A few examples (of many)

2) Pattern algorithms (Empirical Orthogonal Functions, Principal Component Analysis)

3) Multiple linear regression algorithms