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  3. 2. (a.) consider [3]12 in z12. is [3]12 a zero div

2. (a.) Consider [3]12 in Z12. Is [3]12 a zero divisor of Z12 and does [3] have...

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Advance Math

2. (a.) Consider [3]12 in Z12. Is[3]12 a zero divisor of Z12 and does[3] have a multiplicative inverse in Z12?Justify your answer.

(b.) Prove that [3]10 has a multiplicative inverse inZ10 and determine the order of [3] inZx10. Justify your answer.

(c.) Prove that [6]8 is a nilpotent element ofZ8. Justify your answer.

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