By default, solve_right() checks that the result is true. This fails due to 
numerical errors depending on the precision:

sage: RF= RealField(52)
sage: Y=matrix(RF,2,2,1)
sage: A = matrix(RF,[[0.24,1,0],[1,0,0]])
sage: sol = A.solve_right(Y, check=False)
sage: A*sol
[     1.00000000000000 -5.55111512312578e-17]
[    0.000000000000000      1.000000000000000]

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