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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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decomposition of an orthogonal matrix
Hi,
I have a matrix : $W=I+U^TV$
$dim(W)=(D,D)$
$dim(U)=dim(V)=(N,D)$ with $N < < D$
I need it to be orthogonal ie $W^TW=I$
which gives me : $V^TU+U^TV+V^TUU^TV=0$
From that point, i don't …