LINEAR ALGEBRA AND ITS APPLICATIONS

Written by a professor at MIT, this textbook describes methods for solving linear equations using Gaussian elimination, vector spaces, orthogonality, and determinants, then addresses the challenge of finding eigenvalues and eigenvectors. The term "applications" in the title refers more to the general utility of matrices for advanced mathematical analysis than to an abundance of specific examples. The fourth edition adds new problems and explores interior point methods in the last chapter.