This is meant to be a companion guide to a first course in Linear Algebra at the university level, which demonstrates how to use computational tools in practice, while you learn the theory in your ...

Supplementary material may be drawn from the following two texts: Matrix Computations by Gene Golub and Charles van Loan, Johns Hopkins 2013 (third or fourth editions) Iterative Methods for Sparse ...

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear ...

Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical methods. The fourth ...