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The matrix is rank deficient. Diagonal[SingularValueDecomposition[QRinput][[2]]] (* Out[27]= {1.81074, 1.01266, 0.853008, 0.141301, 0.} *) So I'm not very surprised there are different results for the final row of the `q` matrix.
It is possible that AssociateTo behaves in a way similar to AppendTo. If that is true then for each new key->value that you add to your association makes a new copy of the the existing key->value pairs and then inserts or updates one new key. That...