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  3. (a) show that the diagonal entries of a positive d

(a) Show that the diagonal entries of a positive definite matrix are positive numbers. (b) Show that...

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Advance Math

(a) Show that the diagonal entries of a positive definite matrixare positive numbers.

(b) Show that if B is a nonsingular square matrix, thenBTB is an SPD matrix.(Hint. you simply need to show thepositive definiteness, which does requires the nonsingularity ofB.)

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