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associative/commutative properties

label Algebra
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schedule 0 Hours
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Let R2 denote the set {(a, b) : a, b 2 R}. 

We define the operation : R2 x R2 > R2 by (a, b) + (c, d) = (a + c + 5, 2 · b · d)

1. Show that the operation + is associative or not.

2. Show that the operation + is commutative or not.
 

Feb 20th, 2015

1. + associative

2. + commutative

Feb 20th, 2015

Can you show why? 

Feb 20th, 2015

a+c+5 : c can be associated with a or with 5

a+c is same c+a Commutative

Feb 20th, 2015

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Feb 20th, 2015
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