A basic math 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 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, first taught AY2021 (and again in AY2023, etc.)
Familiarity with real and complex numbers will be assumed. Ideally, students will have had some previous exposure to mathematical proofs, though this is not strictly required.