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Math Help - Binary Operations, check please :)

  1. #1
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    Binary Operations, check please :)

    Ordinary Multiplication on complex numbers

    not a binary operation because to complex numbers multiplied together gives a real number e.g 3i x 2i = -6

    Matrix multiplication on the set of all 2x2 non-singular matrices with real elements.

    binary operation

    p*q = p/q p,q belong to Q\{0}

    binary operation

    p*q = p^q p,q belong to Q

    binary operation
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  2. #2
    Senior Member Shanks's Avatar
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    the first one is binary operation since complex field contains real number filed as a subfield.
    the last one is not binary opration, a counterexample: 2^{\frac{1}{2}} is a irrational number.
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  3. #3
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by adam_leeds View Post
    Ordinary Multiplication on complex numbers

    not a binary operation because to complex numbers multiplied together gives a real number e.g 3i x 2i = -6

    Matrix multiplication on the set of all 2x2 non-singular matrices with real elements.

    binary operation

    p*q = p/q p,q belong to Q\{0}

    binary operation

    p*q = p^q p,q belong to Q

    binary operation
    What do YOU think for the second one?
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  4. #4
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    Quote Originally Posted by Drexel28 View Post
    What do YOU think for the second one?
    it is a binary operation
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