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  • Help me understand! When is the condition AxB = BxA true?

When is the condition AxB = BxA true?

  • Option 1)

    Always

  • Option 2)

    Never

  • Option 3)

    When A=B

  • Option 4)

    In most of the cases

 

Answers (1)

best_answer

As we learnt

 

CARTESIAN PRODUCT -

 

A × B of two sets A and B is given by
A × B = {(a,b): a ∈ A,b ∈ B}

In particular R × R = {(x,y): x,y ∈ R} and R × R × R = (x,y,z): x,y,z ∈ R}
 

- wherein

If A= \left \{ 1,2 \right \}\: and\: B= \left \{ a,b \right \}

Then A\times B= \left \{ \left ( 1,a \right ) ; \left ( 1,b \right ); \left ( 2,a \right ); \left ( 2,b \right )\right \}

 

 AxB=BxA is true if both sets are identical.

 


Option 1)

Always

Option 2)

Never

Option 3)

When A=B

Option 4)

In most of the cases

Posted by

Himanshu

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