Only a very basic introduction to linear algebra, fit for a high school curriculum rather than college, or reference. The last chapter introduces some interesting applications, but greater depth would be useful. I also think complex numbers should have been considered, they were briefly mentioned once, but none of the details and intricacies of working with them were explained.
Not a bad introduction but I would go for a more modern approach. I was exposed to linear algebra concepts like eigenvectors while doing graduate coursework for physical chemistry/quantum mechanics. I taught myself linear algebra with this book and it did the job, but I don't think it's the greatest introduction. May be different if you have a teacher. The last chapter had concepts that seemed important but it was too condensed and I knew I would have to put in too much effort for its worth (the theory stuff) or were way to easy (application) like using eigenvalues to solve differential equations.