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 

Transcribed Image Text:

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 1-1 a x b means find the entry in row a and column b; for example, -1 (-i) i (the entry in row -1 and column -i). Find each of the following. a. -1Xi c. -ixi e. 1 x i i b. ixi d. -ix 1 f. -ix-i