Question

If A = { 1, 3, 5} and B = {2, 3}, then

Find: (i) A × B (ii) B × A (iii) A × A (iv) (B × B)

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Answer 1

Answer:

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Step-by-step explanation:

A ×B={1, 3, 5} × {2,3} = [{1, 2},{1, 3},{3, 2},{3, 3},{5, 2},{5, 3}]

B × A = {2, 3} × {1, 3, 5} = [{2, 1},{2, 3},{2, 5},{3, 1},{3, 3},{3, 5}]

A × A = {1, 3, 5} × {1, 3, 5}= [{1, 1},{1, 3},{1, 5},{3, 1},{3, 3},{3, 5},{5, 1},{5, 3},{5, 5}]

B × B = {2, 3} × {2, 3} = [{2, 2},{2, 3},{3, 2},{3, 3}].

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Answer 2

Step-by-step explanation:

Given,

A = { 1, 3, 5 }

A = { 1, 3, 5 }B = { 2, 3 }

(i) A × B

= {1,3,5} × {2,3 }

= ( {1,2}, {1, 3}, {3,2}, {3,3} , {5,2}, {5,3} )

(ii) B × A

= { 2,3} × { 1, 3, 5}

= ( {2,1}, {2,3} , {2,5}, {3,1}, {3,3}, {3,5} )

(iii) A × A

= {1,3,5} × {1,3,5}

= ( {1,1},{1,3},{1,5},{3,1},{3,3},{3,5},{5,1}, {5,3},{5,5} )

(iv) B × B

= {2,3 } × {2,3}

= ( {2,2}, {2,3}, {3,2}, {3,3} )