- #1
James889
- 192
- 1
Hi,
I have some troubles with this question.
Define an operator * on [tex]R[/tex] by
[tex]x*y = 2xy -x -y +1[/tex]
a) is * commutative?
b) is * associative?
I can easily see that * is commutative, but how do i test for associativity?
The rule states that (x*y)*z = x*(y*z)
But what is z ?
I have some troubles with this question.
Define an operator * on [tex]R[/tex] by
[tex]x*y = 2xy -x -y +1[/tex]
a) is * commutative?
b) is * associative?
I can easily see that * is commutative, but how do i test for associativity?
The rule states that (x*y)*z = x*(y*z)
But what is z ?
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