Applied Linear Algebra

This course is a continuation of 62:182 MATH Liner Algebra I. Topics include: topics from Linear Algebra I at a deeper, more formal level, graphs as matrices (electrical networks, adjacency matrices, incidence matrices), determinants and the geometry of vectors, the Gram-Schmidt algorithm, inconsistent systems including method of least squares and the pseudo-inverse, linear transformations including reflections, rotations, shears, and compressions, diagonalization, applications of diagonalization including Markov processes. Important classes of matrices such as symmetric (hermitian) and orthogonal (unitary) matrices will be discussed.