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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

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Bounding Rayleigh quotient for stochastic matrix

Suppose you have an irreducible, stochastic matrix $A$ with left Perron-Frobenius eigenvector $v$ (corresponding to the eigenvalue $1$), and suppose the next largest eigenvalue for $A$ is $\lambda$. L …
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