Question: 25. Let V, A, B be non-negative n x n matrices. Show that AVB = 0 if and only if tr (VAVB) = 0 but

25. Let V, A, B be non-negative n x n matrices. Show that AVB = 0 if and only if tr (VAVB) = 0 but that tr (AVB) = 0 does not imply that AVB = 0.

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