Linear algebra now rivals or surpasses calculus in importance for people working in
quantitative fields of all kinds: engineers scientists economists and business people.
Gilbert Strang has taught linear algebra at MIT for more than 50 years and the course he
developed has become a model for teaching around the world. His video lectures on MIT
OpenCourseWare have been viewed over ten million times and his twelve textbooks are popular
with readers worldwide. This sixth edition of Professor Strang's most popular book
Introduction to Linear Algebra introduces the ideas of independent columns and the rank and
column space of a matrix early on for a more active start. Then the book moves directly to the
classical topics of linear equations fundamental subspaces least squares eigenvalues and
singular values - in each case expressing the key idea as a matrix factorization. The final
chapters of this edition treat optimization and learning from data: the most active application
of linear algebra today. Everything is explained thoroughly in Professor Strang's
characteristic clear style. It is sure to delight and inspire the delight and inspire the next
generation of learners.