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Homework Statement
Suppose U and V are unitary matrix, A and B are positive definite,
Does:
UAU^{-1} < VBV^{-1}
implies A < B
and vice versa?
What do you mean by Y < Z for two matrices Y and Z?Homework Statement
Suppose U and V are unitary matrix, A and B are positive definite,
Does:
UAU^{-1} < VBV^{-1}
implies A < B
and vice versa?