The Eigenvector

* Two examples

** Two interest-bearing accounts

** Rabbit reproduction

** Interpretation using change of basis

* Eigenvalues and eigenvectors

** Eigenvector corresponding to an eigenvalue

* Similarity

* Diagonalizability

** Diagonalizability Theorem

** Interpretation using change of basis, revisited

** Interpretation using change of basis, re-revisited

* Examples (Markov chains)

** The Internet Worm of 1988

*** Modeling the Worm

** Modeling population movement

*** Analyzing dance-floor dynamics

** Modeling Randy

*** Where is Randy?

** From Randy to spatial locality in CPU memory fetches

* Markov chains

** The biggest Markov chain in the world

** Stationary distributions

** Mix of two distributions

** Clever approach to matrix-vector multiplication

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