Exercise 9.10.8. Use Lemma 9.6.2 to show that if A is nonnegative definite and B is positive
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Exercise 9.10.8. Use Lemma 9.6.2 to show that if A is nonnegative definite and B is positive definite, then AB−1 is nonnegative definite. Hint: Show that the nonnegative definite matrix B−1/2AB−1/2 has the same eigenvalues as AB−1.
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