Consider the set F and the operation of from Problem 34. Does the set F satisfy

Question:

Consider the set F and the operation of × from Problem 34.
Does the set F satisfy the given property for the operation of ×? Give reasons.

a. Associative

b. Commutative

Data from Problem 34

Consider the set with an operation 1 -1 1 -1 X 1 -1 F (1,1, i, -i} = X defined by the table. i-i i -i 1 -i -1 i -i-1 1 -i i

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