Linear Algebra

Catalog description

This course develops the techniques and theory needed to solve and classify systems of linear equations. Techniques that are covered include row operations, Gaussian elimination, and the algebra of matrices. The course explores the properties of vectors in n dimensions, which leads to the notion of an abstract vector space. The theory of vector spaces and matrices are introduced, and the topics include inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Applications of linear algebra are included.