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I'm probably missing something, but should it not be: MahalanobisDistance[data_?MatrixQ,u_,v_]:= Sqrt[(u-v).Inverse[Covariance[data]].(u-v)] instead of MahalanobisDistance[data_?MatrixQ,u_,v_]:= Sqrt[u.Inverse[Covariance[data]].v] ...