Lecture notes on linear algebra by David Lerner
These are lecture notes for a first course in linear algebra; the
prerequisite is a good course in calculus. The notes are quite informal, but
they have been carefully read and criticized by two sections of honors students,
and their comments and suggestions have been incorporated. Topics covered
includes: Matrices and matrix algebra, Elementary row operations and their
corresponding matrices, Homogeneous systems, Square matrices, inverses and
related matters, The derivative as a matrix, Subspaces, Linearly dependent and
independent sets, Basis and dimension of subspaces, 3 The rank-nullity
(dimension) theorem, Eigenvalues and eigenvectors, Orthogonal projections and
orthogonal matrices, Symmetric and skew-symmetric matrices.
Author(s): David Lerner, University of
Kansas
120 Pages