Question: Let /: R XR^Zbe the closed binary operation defined by f(a,b) = [a + b]. (a) Is f commutative? (b) Is f associative? (c) Does

Let /: R XR^Zbe the closed binary operation defined by f(a,b) = [a + b]. (a) Is f commutative? (b) Is f associative? (c) Does f have an identity element?

Step by Step Solution

3.43 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a For all a b R fa b a b b a fb a because the real numbers are commutative under addition He... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

954-M-L-A-L-S (7684).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!