Question: 6. Practice with Fields. We shall work over the eld (Z7, +, x). (a) (5.6 points) Addition Table. The (i, j)-th entry in the table

6. Practice with Fields. We shall work over the eld (Z7, +, x). (a) (5.6 points) Addition Table. The (i, j)-th entry in the table is i+j. Complete this table. You do not need to ll the black cells because the addition is commutative. Table 1: Addition Table. (b) (5.6 points) Multiplication Table. The (i, j)-th entry in the table is i x 3'. Com- plete this table. Table 2: Multiplication Table. ((3) (2.6 points) Additive and Multiplicative Inverses. Write the additive and multi- plicative inverses in the table below. Table 3: Additive and Multiplicative Inverses Table. 12

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