(CC BY) This is an introduction to linear algebra. The main part of the book features row operations and everything is done in terms of the row reduced echelon form and speciﬁc algorithms. At the end, the more abstract notions of vector spaces and linear transformations on vector spaces are presented. However, this is intended to be a ﬁrst course in linear algebra for students who are sophomores or juniors who have had a course in one variable calculus and a reasonable background in college algebra.