Exercise 4. (a) Suppose T E L(C²) is defined by T(r, y) = (-4y, x). Find the eigenvalues and the singular values of T. (b) Suppose T E L(C*) is defined by T(21, 2, 23, z4) = (22, 2z3, 3z4, 0). Find the eigenvalues and the singular values of T.

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