The official textbook for this course is Linear Algebra and its applications (6th edition), by David C. Lay, Steven R. Lay, and Judi J. McDonald. It is very readable and has many worked out examples. The book can be purchased from the UK Bookstore or online.

We will cover chapters 1-6 of this book.

If you are interested in learning more and further your grasp of Linear Algebra and its applications, the following are some additional noteworthy resources:

1. Matrix Algebra and its Applications, lecture notes by Avinash Sathaye.
   
2. A Brief History of Linear Algebra and Matrix Theory by Vitulli, Marie.
   
3. Linear Algebra (website) from Wikipedia.
   
4. Linear Algebra (website) from Wolfram MathWold.
   
5. The Growing Importance of Linear Algebra in Undergraduate Mathematics by Alan Tucker.
   The College Mathematics Journal. Vol. 24, No. 1 (Jan., 1993), pp. 3-9.
6. Linear Algebra Lectures (website) from the Khan Academy.
   
7. Trends in Linear Algebra By Jennifer Pestana. SIAM News, August 2016.
   
8. Algebraic and Discrete Mathematical Methods for Modern Biology edited by Raina Robeva.
   
9. Biocalculus: Calculus, Probability, and Statistics for the Life Sciences by James Stuart and Troy Day.