Overview
Linear algebra pervades and is fundamental to geometry
(from which it originally arose), algebra,
analysis, applied mathematics, statistics---indeed
all of mathematics.
The course has several aims.
The first is to introduce students through a thorough study of
two- and three-dimensional spaces to the general concept of
a vector space, subspaces, and the ideas of
linear dependence, independence, spanning sets, bases, dimension.
A second aim is to introduce students to matrices and their
applications to the algorithmic solution of
systems of linear equations
and to the study of linear transformations of vector spaces.
A third aim is to introduce determinants and their properties.
A fourth aim is to introduce eigenvalue theory and
some of its applications.
![[Oxford Spires]](/im/spires.gif){kind=small}
oucl