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for questions involving inequalities, upper and lower bounds.

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Is it true that $B \leq I \rightarrow B^2 \leq I$ (or higher powers) for positive semidefini...

Thanks for the answers; did not know that I could pre- and post multiply both sides of a matrix "inequality". I think of $C<D$ as just a symbol for $C-D$ being psd. The eigenvalue argument is great to …
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