Linear

Welcome to the main page for Linear Algebra.

Visit this demo code referencefor any and all code I have released for linear algebra courses (Math 290-390).

What is linear algebra actually about?

You’ll learn to do some computations with matrices and vectors in this course. However, more importantly, linear algebra is primarily about reasoning – most of the actual computations in day-to-day life are done by computers. My goals for you in this course include:

• Performing enough matrix computation by hand that you actually know (some of) what computers are doing when they compute with matrices and understand the challenges that surround computing with matrices at an intuitive level.

• Being able to perform enough reasoning about matrices, vectors and vector spaces that you can decide on appropriate calculations to perform, including simplifying matrix expressions to avoid needing to do unnecessarily many computations.

• Knowing what matrix computations actually mean so that you draw appropriate conclusions from those calculations!

• Extend your reasoning about matrices and vector spaces to areas of mathematics outside of the real numbers; that is, matrices are used to represent symmetry, polynomials, and even knots; they are also used to count holes in shapes and find simpler representations of data!