  Starting from a model of nonlinear magnetoelasticity where magnetization is
defined in the Eulerian configuration while elasticity is in the Lagrangean
one, we rigorously derive a linearized model that coincides with the standard
one that already appeared in the literature, see, e.g., DeSimone \& James
(2002) and where the zero-stress strain is quadratic in the magnetization.
  The relation of the nonlinear and linear model is stated in terms of the
$\Gamma$-convergence and convergence of minimizers.
