And there are even more of his lectures on the MIT OCW website.

Oh, and since the topic was positive definite matrices, there are 3 ways to tell if you have one (t=47:17 on the video):

1. all the pivots are > 0

2. all the eigenvalues are > 0

`3. \quad x^TKx > 0 \quad \forall x \neq 0 `

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Mathematics of Linear Algebra

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