This is linear algebra for undergraduate math majors, but if you just want an basic understanding of the topic with a focus on computational applications, Poole's "Linear Algebra: A Modern Introduction" is probably more suitable as it's heavy on applications, such as Markov chains, error-correcting codes, spatiel orientation in robotics, GPS calculations, etc.
https://www.physicsforums.com/threads/linear-algebra-a-moder...