Overview:

1. Introduction to matrices
2. Adding and subtracting matrices
3. Multiplying matrices
4. 2 × 2 Matrices and linear transformations
5. Determinants of 2 × 2 matrices
6. Inverses of 2 × 2 matrices
7. Invariant points and lines in 2 dimensions
8. 3 × 3 Matrices and linear transformations
9. Determinants of 3 × 3 matrices
10. Inverses of 3 × 3 matrices
11. Matrices and simultaneous equations

You can only add or subtract matrices A and B if they are the same order. We can work out A + B by simply adding the corresponding elements of the matrices. We can work out A − B by subtracting each element of B from the corresponding element of A.