(3) Assume in this part that S = Z3. Consider J := |x € Z3 -2x (a) Justify that J is the set of all non units of R (i.e., all the matrices in R having zero determinants in the field Z3). (b) Justify by finding a A E Z3 satisfying the condition in part (2)(ii) that J = I (implying that J is an ideal of R).

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