Consider a 2 x 2 matrix A =a b b c, where a anddetA are both positive. Without using
Chapter 8, Problem 14(choose chapter or problem)
Consider a 2 x 2 matrix A =a b b c, where a anddetA are both positive. Without using Theorem 8.2.5, show that A is positive definite. [Hint: Show first that c is positive, and thus tr(A) is positive. Then think about the signs of the eigenvalues.]
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