Question

If A={a b c} and B={x y}, find A×B, B×A, A×A and B×B

Answer 1

Given
A={a ,b,c}
B={x,y}

Now
1. A * B ={ (a,x) ,(a,y) ,(b,x), (b,y) ,(c,x), (c,y)}

2. B * A ={(x,a) ,( x,b) , (x,c) , (y,a) , (y, b ) , (y,c) }

3. A* A= { (a,a), (a,b) , (a,c) ,(b,a) ,(b,b) ,(b,c) , (c,a) , (c,b) , (c,c)}

4. B * B= {( x,x) , (x,y), ( y,x) , (y,y )}

Hope it helps..
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