This text presents basic ideas in a manner that students can readily understand. Coverage begins with linear systems of equations, easing students into mathematical thought processes from the outset. Kolman gradually introduces abstract ideas next, carefully supporting discussion with worked examples that illustrate the theories under review. The sixth edition reflects improvements in the teaching of linear algebra brought on by the calculus reform movement, as well as recommendations made by faculty and student reviewers. The result is a text that has more visualization, geometry, computation, and exercises whose solutions call for a verbal answer.
This book is an excelant choice for those who want to be Introduced in the linear algebra. It is not written for math majors, however, I recommend it because its readablity. Moreover, one can develope his Intuition through the many many number of examples. It is a proof based math book and covers many topics in linear algebra but not all because as the title suggest "Elementary Linear Algebra "