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Math Help - Matrices

  1. #16
    Newbie Suddenli's Avatar
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    Re: Matrices

    Thank you very much for the info. I have been looking for this info for the last few days. Your efforts are appreciated.


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    Last edited by Suddenli; January 25th 2013 at 04:58 AM.
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  2. #17
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    Re: Matrices

    Quote Originally Posted by tmoria View Post
    an interesting point from my earlier error though...

    treating as ordinary algebra

    AY^{-1}=B

    Y^{-1}=\dfrac {B}{A}

    since \dfrac{1}{A}=A^{-1}

    we have Y^{-1}=A^{-1}B

    which agrees with your matrix solution.

    Is this true in all situations or just peculiar to this one ?
    it's true of all situations where the concept of "multiplicative inverse" is well-defined. the horizontal bar refers to a particular kind of inverse, one defined by division (usually reserved for elements of a field, or a localization of a ring).
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  3. #18
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    Re: Matrices

    Thanks for clarifying that Deveno, I was never keen on matrices when I was at school a looonnnggg time ago.
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  4. #19
    Super Member ILikeSerena's Avatar
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    Re: Matrices

    Quote Originally Posted by Deveno View Post
    this makes no sense, for vectors OR matrices, division is not defined.
    I thought division was usually defined as multiplication with the inverse.
    It works perfectly for matrices.
    See e.g. Division (mathematics) - Wikipedia, the free encyclopedia
    Furthermore, next to right division, we have left division (denoted \).
    Last edited by ILikeSerena; January 25th 2013 at 03:10 PM.
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  5. #20
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    Re: Matrices

    I Defines here matrices and basic matrix terms, illustrating these terms with worked solutions to typical homework exercises.

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