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10 cards from this deck
Ax=λx\mathbf{Ax} = \lambda\mathbf{x}Ax=λx
Non-zero vector maintaining direction under transformation
Scaling factor (λ\lambdaλ) for eigenvector
det(A−λI)=0\det(\mathbf{A} - \lambda\mathbf{I}) = 0det(A−λI)=0
Every matrix satisfies its own characteristic equation
M=PDP−1\mathbf{M} = \mathbf{PDP}^{-1}M=PDP−1
An=PDnP−1\mathbf{A}^n = \mathbf{PD}^n\mathbf{P}^{-1}An=PDnP−1
Raise each diagonal element to power nnn
λ=1\lambda = 1λ=1
Repeated eigenvalue
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