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ch4aika [34]
3 years ago
13

Let a * b = 3a + 2b for a, b e Z. Verify that * is acommutative binary operation on Z.[2]​

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

It's not commutative:

<em>a</em> * <em>b</em> = 3<em>a</em> + 2<em>b</em>

but

<em>b</em> * <em>a</em> = 3<em>b</em> + 2<em>a</em>

We have equality only for

3<em>a</em> + 2<em>b</em> = 3<em>b</em> + 2<em>a</em>   →   <em>a</em> = <em>b</em>

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