Friedberg, Spence and Insel's "Linear Algebra" is among the most widely used textbooks, with a detailed approach and an easy-to-read format. Another popular option is "Linear Algebra Done Right" by Sheldon Axler, which focuses on understanding the structure of linear operators on finite-dimensional vector spaces.
Most textbooks on linear algebra assume a prerequisite knowledge of calculus. The ideal book for learning the subject depends on the field of study it will be used for. For example, Norman and Wolczuk's "An Introduction to Linear Algebra for Science and Engineering" has applications of importance to students in the sciences and engineering fields.