Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T). A = 16 0 -8 2 0 19 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) (b) nullity(T) 1 (c) range(T) O R2 O {(16s, 8t, 19s - 2t): s, t are any real number} O {(s, 0): s is any real number} O {(0, t): t is any real number} O R3 (d) rank(T) 2

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