Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T). 3 3 A = 3 3 (a) ker(T) { (b) nullity(T) (c) range(T) O {(-t, t): t is any real number} O {(3t, t): t is any real number} O R? OR O {(t, 3t): t is any real number} (d) rank(T)

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