Linear Algebra Core Topics For The First Course

The book is an introduction to linear algebra intended as a textbook for the first course in linear algebra. In the first six chapters we present the core topics matrices the vector space Rn orthogonality in Rn determinants eigenvalues and eigenvectors and linear transformations. The book gives students an opportunity to better understand linear algebra in the next three chapters Jordan forms by examples singular value decomposition and quadratic forms and positive definite matrices.In the first