Operation table of a group, Symmetries of plane figures, Cycle notation for permutations, Left and right cosets, group homomorphism, kernel, kernel and range of a homomorphism, isomorphisms
IB Mathematics HL Option: Sets, Relations and groups (Binary operations)
How can we show if the following binary operation on R defined be x*y=x+y-4 is commutative or associative.
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IB Mathematics HL Option Sets,relations and Groups (Binary operations)
Since x*y=x+y-4 and y*x=y+x-4= x+y-4= x*y, the operation is commutative.
thus the binary operation * is associative.
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