Linear Algebra

Catalog description

A first course in vectors, matrices, vector spaces, and linear transformations. The ideas in this course serve as an introduction to more abstract mathematics courses at the junior-senior level, and also covers many useful applications outside mathematics. The course is not intended to replace a more advanced linear algebra course at the junior-senior level Topics include vectors, operations on matrices, inverse of a matrix, solutions of systems of linear equations, rank of a matrix, vector spaces and subspaces, linear dependence and independence, basis and dimension, linear transformation, sums, compositions, inverses of linear transformations, range and kernel of a linear transformation, student's written proofs, determinants, eigenvalues and eigenvectors, orthogonality and inner product spaces, and real quadratic forms.