Linear algebra

This “Linear Algebra” session is useful for several ESE’s maths modules, including “Mathematics Methods 1”, “Mathematics for Scientists and Engineers”, and “Geophysical Inversion”.

Table of contents

• Basic definitions and operations
• Linear transformations
• Systems of linear equations
• Theory
• Eigenvalues and eigenvectors
• Invariants
• Similar matrices
• Linear Algebra in Python
• Matrices
• Eigenvalues

Further reading and references

• Prof Gareth Collins’ Maths Methods 1 lecture notes (available internally on ESESIS)

• Prof Matthew Piggott’s lecture notes for MSc ACSE courses

• Trefethen, L.N. and Bau III, D., 1997. Numerical linear algebra (Vol. 50). Siam.