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2008 Oct 20
3
A question about positive definite matrix
I know, this is a forum about R. But I am so desperate of this problem (BTW,
anyone knows any good Statistics/Math forum to post question like this?):
A and B are both n x n positive definite matrix.
Denote A > B, if A - B is positive definite.
I know this is true: if A > B, then A^{-1} < B^{-1}. But how to prove this?
I tried to diagonalize A and B, but since they can have different