Question: QUESTION 1 Let 7 : C3 - C3 be the linear operator defined by T(Z1, Z2, Z3) = (Z1 + iZ2, iZ2 - Z3, Z1

QUESTION 1 Let 7 : C3 - C3 be the linear operator defined by T(Z1, Z2, Z3) = (Z1 + iZ2, iZ2 - Z3, Z1 + Z3). (1.1) Find a formula for T*(Z1, Z2, Z3) expressed as a single vector in terms of Z1, Z2, Z3. (1.2) Find a basis for N (T) . (1.3) Find a basis for R ( T*) . (1.4) Show that R (T*) = N(T)

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