Question: Let A be a positive definite symmetric matrix. Show that there exists an invertible matrix B such that A = BT B. [Hint: Use the

Let A be a positive definite symmetric matrix. Show that there exists an invertible matrix B such that A = BT B. [Hint: Use the Spectral Theorem to write A = QDQT. Then show that D can be factored as CT C for some invertible matrix C.]

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