Show that ab is positive semidefinite

Reference no: EM131369024

1. The matrices A and B are symmetric and positive semidefinite of order n X n such that AB = BA. Show that AB is positive semidefinite.

2. If A is a symmetric n X n matrix, and B is an n X n skew-symmetric matrix, then show that tr(AB = 0).

Reference no: EM131369024

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