This book is very well written along with many great examples. This book covers basically everything you need to know in an introductory Linear Algebra class about Vectors, Vector spaces, Matrices, Determinants, Linear transformations, Eigenvalues and Eigenvectors, orthogonality, Gram Schmitt process, Systems of equations and and so forth. The people who think this book is too hard, should go back and review their high school algebra books again. One of the great features of this book, as an INTRODUCTORY book, is that it teaches you everything in R^n space. Overall: great 5 star book.