If $A$ is a positive definite matrix, B is not sure but $tr(B)>0$ where $tr$ is trace, will $tr(AB)>0$ ? that is the trace of the product of those two matrices. B is not a diagonal matrix or more specifically, $B=vec(D)*(c \otimes c)$ where c is any row vector and $D$ is positive definite. $vec$ is vectorization by column
2026-03-25 16:46:27.1774457187
positiveness of product of matrix
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