Episode 20b (29:09):
Diagonalization is just the best
Summary:
The monks help us see that if a matrix A has a linearly independent set of eigenvectors then we can, amazingly, factorize A through diagonalization: A=SΛS−1. We derive the factorization, talk about how A→x really works through basis transformation, and how we can easily find arbitrary powers of $\mathbf{A}. We examine a simple example 2 by 2 to deliver the happiness in full. Basking is allowed and encouraged.
Best dined upon by 2016/11/07
Duration: 29:09