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Math Help - identity proof

  1. #1
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    identity proof

    I was confused on how to prove/disprove that double addition operator has an identity element? #:double addition +: normal addition

    a # b = 2a + 2b

    I was confused on how to go about it... Should i assume that there is an identity element E

    and say that

    a # E = 2a + 2E = 2a?
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    What is the identity element for addition?
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  3. #3
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    Ya it was so simple, the element is 0 for scalar addition
    After a while of going in circles over, i should have just kept it simple:

    a # E = 2a + 2E = 2a which is not equal to a in general: disproved

    example:
    a = 1 ; e = 0

    1 # 0 = 2(1) + 2(0) = 2 not 1
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