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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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Number of positive eigenvalues of the product of two matrices
Let $A\in\mathbb{R}^{n\times n}$ be a matrix that has at least one positive eigenvalue with positive real part. Let $B\in\mathbb{R}^{n\times n}$ be a matrix where all its eigenvalues have positive rea …