Let L: R → R be defined by L(au + Bu2) = (a+B)u1 + (a - B)u2, where u = (1, -1)', u2 = (2, 1)", and a, B are any scalars. (1) Verify that L is a linear transformation; (2) Find the matrix A representing L with respect to the ordered bases of {u1, U2}.

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