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#1 2010-01-26 20:01:24

dannyv
Member
Registered: 2007-09-20
Posts: 34

Problems with linear algebra

Hello,

I have the following problem. Let U be an unitary matrix (i.e., assume that it is a rotation in some Hilbert space H), and I want to decompose U as a product of two reflections through two subspaces A,B in H, i.e.,


where
is a projection onto subspace X, and I is the identity.

what are the basis vectors for subspaces A and B?

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