2. Let A and B be positive definite 2 x 2 matrices. Show $a_{11}b_{11} - 2a_{12}b_{12} +...

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2. Let A and B be positive definite 2 x 2 matrices. Show

$a_{11}b_{11} - 2a_{12}b_{12} + a_{22}b_{22} > 0$.

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