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how about the following:
sage: m=matrix(RDF,[[1,1],[2,2]],sparse=True)
sage: m
[1.0 1.0]
[2.0 2.0]
sage: m.kernel()
Vector space of degree 2 and dimension 1 over Real Double Field
Basis matrix:
[ 1.0 -0.5]
Of course this will only work if your close to 0 eigenvalues are close enough to 0...
