This course covers the fundamental concepts of linear algebra, including taking linear combinations of vectors, vector spaces and subspaces, linear independence, and applications in computer science such as sending messages on a noisy channel. The course aims to teach students the skills to manipulate vectors, understand vector spaces, and apply linear algebra in various problem-solving scenarios. The teaching method involves theoretical explanations, examples, and applications to reinforce learning. This course is intended for students or professionals interested in computer science, mathematics, or any field that requires a strong foundation in linear algebra.
Overview
Syllabus
15-251: Great Theoretical Ideas in Computer Science Lecture 24
To take linear combinations of vectors
Application: Fun with Fibonacci
Fibonacci via Linear Algebra
More on linear combinations
A span example in F2
Vector spaces/subspaces
Vector subspace example #2
Linear independence
A nontrivial Linear Algebra theorem
Sending messages on a noisy channel
Taught by
Ryan O'Donnell
