Advanced Linear Algebra - Lecture 20: Orthogonality and Orthonormal Bases

We learn about orthogonality, which is a stronger version of linear independence. We then introduce orthonormal bases, which are the "best behaved" bases out there.

Please leave a comment below if you have any questions, comments, or corrections.

[browncow]

At 15:45, does the third matrix of the Pauli basis have a norm of root-2? It seems to me that it has a norm of 0, since we are adding together the squares of "i" (which is -1) and "-i" (which is 1).