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Linear Algebra

Ryan O'Donnell via YouTube

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Overview

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This lecture introduces linear combinations, spans, vector spaces, and linear independence over real numbers and finite fields. It applies these ideas to Fibonacci sequences and error correction for noisy-channel communication.

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

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