Show that for any matrices B, U, and V such thatV > 0 (positive definite), U is

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Show that for any matrices B, U, and V such thatV > 0 (positive definite), U is full rank, and BU is square and nonsingular, we have

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(i.e., the difference of the two sides is nonnegative definite). (Hint: The proof is very similar to that of Lemma 5.1.)

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