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

1 vote

Non-negative matrices with prescribed Perron-Frobenius eigenvectors

Without the assumption of irreducibility of $B$, there seems to be the following counterexample, even if we restrict to $x_i,y_j>0$. Let $A=E_{12}+E_{21}+E_{22}$, a 2 by 2 matrix. Then $\lambda$ is th …
Pavel Etingof's user avatar