3. Let T be a linear operator in C² and is defined by T(a, b) = (3a + (2 + i)b, (2 – i)a + 7b) (a) Let ß be a standard ordered basis of C², please find the matrix representation A of T. (b) What kind of operator is T: (1) Normal, (2) Self-adjoint, (3) Unitary, (4) Orthogonal projection? You must provide enough evidence of your answer to get the full credit.

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