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Math Help - Show that A + 0 = A

  1. #1
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    Show that A + 0 = A

    Just a simple question I want to know how to do, google hasn't been a help.

    Show that A + 0 = A

    Is it something like, make A a 1 so its 1 + 0 = 1?
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  2. #2
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    Quote Originally Posted by gary223 View Post
    Just a simple question I want to know how to do, google hasn't been a help.

    Show that A + 0 = A

    Is it something like, make A a 1 so its 1 + 0 = 1?
    You need to be more specific now. What is A, 0, +? I presume there is nothing to prove here. It is an assumption we start with. And the above holds by definition of 0.
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  3. #3
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    For all A

    A+0=A

    Kind of self obvious but to prove like less obvious equalities perhaps the below is helpful

    Transpose to A-A=0
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  4. #4
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    Quote Originally Posted by gary223 View Post
    Just a simple question I want to know how to do, google hasn't been a help.

    Show that A + 0 = A

    Is it something like, make A a 1 so its 1 + 0 = 1?
    Is A a matrix? If so, are you working over arbitrary field, over reals...?

    Nevertheless, to verify this for matrices you just have to look at each position, you get equality a_{i,j}+0=a_{i,j}, which is valid in any field (in particular, in reals).

    However, it was just a guest that you mean matrices - you should have specified the context of your question.
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  5. #5
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    Its not a matrix. I'd imagine it has something to do with Boolean algebra?
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  6. #6
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by gary223 View Post
    Its not a matrix. I'd imagine it has something to do with Boolean algebra?
    How about A\vee 0=A\vee \left(A\wedge \neg A\right)=A by the absorption property?
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  7. #7
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    Quote Originally Posted by gary223 View Post
    Its not a matrix. I'd imagine it has something to do with Boolean algebra?
    You imagine? This is your problem! Where did you get it? What algebraic system are you in?
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