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Thread: What definition do them mean?(Binary Operation)

  1. #1
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    What definition do them mean?(Binary Operation)

    What definition do them mean?(Binary Operation)-img_20170416_115902696_li.jpg

    I am talking about the (a) part. It says by the definition... What definition? How am I supposed to prove that it is commutative when no variable is given or function is defined?
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  2. #2
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    Re: What definition do them mean?(Binary Operation)

    Quote Originally Posted by abhistud View Post
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    I am talking about the (a) part. It says by the definition... What definition? How am I supposed to prove that it is commutative when no variable is given or function is defined?
    the definition that

    $a * b = 1, ~\forall a,b \in \mathbb{R}$

    if $a * b = 1~\forall a,b \in \mathbb{R}$

    then I can swap $a$ and $b$ and get

    $b * a = 1$

    $a * b = 1 = b*a$

    $a*b = b*a$
    Thanks from abhistud
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  3. #3
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    Re: What definition do them mean?(Binary Operation)

    Hey abhistud.

    Following on from what romsek said - you have to show that swapping and a and b doesn't change the result when you apply the operation.
    Thanks from abhistud
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    Re: What definition do them mean?(Binary Operation)

    I see. Thanks for the help.
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