Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(7). %3D A = 8 0 -4 8 0 17 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) {(-17,101,81)

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A: The solution is given by using rank nullity theorem and null space as follows :

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