Show that the transformation T defined by T(X₁, X₂) = (4x₁ - 2x₂₁ X₁ +3, 5x₂) is not linear. If T is a linear transformation, then T(0)= and T(cu + dv) = cT(u)+dT(v) for all vectors u, v in the domain of T and all scalars c, d. (Type a column vector.)

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