A rigorous mathematical introduction to linear algebra, directed at physics or engineering students, but also beneficial to neuroscientists and others who require linear and matrix algebra in their research. Course assignments offer practice in working with linear maps between vector spaces, how these can be realised as matrices, and how this can be applied to solving systems of linear equations. Topics include matrix operations, solving systems of linear equations, eigenvalues, eigenvectors, diagonalisation and Gram-Schmidt orthonormalisation. Not intended for mathematicians.
Alternating year course, AY2023, AY2025
- Fields, vector spaces, and bases.
- Matrix operations and solving systems of linear equations.
- Row reduction and determinants.
- Change of coordinates.
- Eigenvalues, eigenvectors, diagonalisation.
- Gram-Schmidt orthonormalisation.
- Linear Algebra Done Wrong – Sergei Treil
Alternate years course: AY2023 and AY2025