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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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Section
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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For the given sets, form the Cartesian product.

A × B ; A = { a , b } , B = { 0 , 1 }

B × A ; A = { a , b } , B = { 0 , 1 }

A × B ; A = { 2 , 4 , 6 , 9 } , B = { 2 }

B × A = ; A = { 1 , 5 , 9 } , B = { 1 , 1 }

B × A ; A = B = { 1 , 2 , 3 }

(a)

To determine

The Cartesian product A×B where A={a,b}, B={0,1}.

Explanation

Formula Used:

The Cartesian product A×B of two given non empty set A and B is the set of all ordered pair (a,b) of element aA, and bB is,

Explanation:

Here, we have,

A={a,b} and

(b)

To determine

The Cartesian product B×A where A={a,b}, B={0,1}.

(c)

To determine

The Cartesian product A×B where A={2,4,6,8}, B={2}.

(d)

To determine

The Cartesian product B×A where A={1,5,9}, B={1,1}.

(e)

To determine

The Cartesian product B×A where A=B, B={1,2,3}.

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