Linear algebra is a branch of mathematics that deals with linear equations and their representations in vector spaces. It involves the study of linear transformations, matrices, and systems of linear equations.
Linear algebra has numerous real-world applications in fields such as physics, engineering, computer science, economics, and statistics. It also serves as a foundation for more advanced mathematical concepts and techniques.
Both books are highly regarded in the field of linear algebra and cover similar topics. It ultimately comes down to personal preference and learning style. Some may find Friedberg's book more concise and theoretical, while others may prefer the more applied approach of Hoffman and Kunez.
A basic understanding of algebra and calculus is necessary to understand the concepts in Friedberg or Hoffman and Kunez's book. However, the books also provide a review of these topics and introduce new concepts gradually, making it accessible to readers with varying levels of mathematical background.
Yes, there are many online resources such as lecture notes, practice problems, and video tutorials that can help supplement the material in the books. Some universities also offer online courses for linear algebra that can be used as a supplement or alternative to the books.