- Systems of Linear Equations and Their Solution Setsages 18 to 19 · on the way
- Gaussian Elimination and Row Echelon Formages 18 to 19 · on the way
- Matrix Multiplication and What It Representsages 18 to 19 · on the way
- The Inverse of a Matrix and When It Existsages 18 to 19 · on the way
- Determinants and What They Measureages 18 to 19 · on the way
- LU Factorisation, Pivoting and the Cost of a Solveages 20 to 21 · on the way
- Vector Spaces and Subspacesages 18 to 19 · on the way
- Linear Independence, Span and Basisages 18 to 19 · on the way
- Dimension and the Rank-Nullity Theoremages 18 to 19 · on the way
- Linear Maps and Their Matricesages 19 to 20 · on the way
- Change of Basisages 19 to 20 · on the way
- Eigenvalues and Eigenvectorsages 19 to 20 · on the way
- Diagonalisation and Powers of a Matrixages 19 to 20 · on the way
- Inner Products, Length and Orthogonalityages 19 to 20 · on the way
- Orthogonal Projection and Least Squaresages 20 to 21 · on the way
- The Gram-Schmidt Processages 20 to 21 · on the way
- Symmetric Matrices and the Spectral Theoremages 20 to 21 · on the way
- The Singular Value Decompositionages 20 to 21 · on the way
- Iterative Methods for Large Linear Systemsages 23 to 24 · on the way