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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=SΛS1. We derive the factorization, talk about how Ax 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

2016/11/07

29:09

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