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1.3 solve for e, f, and j. Solve 5. Show all of the work.
Transcribed Image Text:1.3 In each case, determine whether or not the given is a binary operation on the given set S. a) S=Z, a+b=a+b2 b) S-Z, a ba2b3 а c) S=R, a+b= a2 + b2 a2+2ab+b2 d) S=Z, a+b= a+b S=Z, a+b=a+b-ab S=R, abb g) S={1, 2,3,2,-4), a+b=|b| = h) S (1,6,3,2, 18}, a+b=ab. i) S-the set of all ×ばつ2 matrices with real entries, and if then a-(22) a+b= and b= - (1 16- (11th 12th) j) S the set of all subsets of a set X, A B=(AB)^B. W 3 d
Transcribed Image Text:1.5 f S is the set of subsets of a set X, is the operation of intersection commutative on S? Is it associative?
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