Say I have an even-numbered set of vectors, [itex] X = \{x_1, x_2, ...x_{2n}\} [/itex] where there exists some pairing of the vectors such that,(adsbygoogle = window.adsbygoogle || []).push({});

[tex] x_iA = x'_i \quad \forall i=1..n[/tex]

However, I don't know what the pairing should be. Other than iterating over some norm and finding all pairs of [itex] i [/itex] and [itex] j [/itex] which satisfy [itex]|| x_iA - x_j || = 0 [/itex], can anyone think of a faster way of doing it?

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# Finding pairs of operator-related vectors

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