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Thread: division

  1. #1
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    division

    Is the division of matrix is defined?
    Or it is meaningless...
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  2. #2
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    Re: division

    multiplication by the matrix inverse (assuming it exists) has a similar effect to division.
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  3. #3
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    Re: division

    Many matrices do not have a matrix. Writing $\displaystyle AB^{-1}$ makes it clear that B must an inverse where $\displaystyle \frac{A}{B}$ does not.

    Also, matrix multiplication is not, in general, commutative. Writing $\displaystyle \frac{A}{B}$ does not indicate whether $\displaystyle AB^{-1}$ or $\displaystyle B^{-1}A$ is intended.
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  4. #4
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    Re: division

    Unfortunately it is too late to correct a rather silly mistake (so I could pretend I never made it!). Of course, in the first sentence I meant to write "Many matrices do not have a multiplicative inverse".
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  5. #5
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    Re: division

    Quote Originally Posted by HallsofIvy View Post
    Unfortunately it is too late to correct a rather silly mistake (so I could pretend I never made it!). Of course, in the first sentence I meant to write "Many matrices do not have a multiplicative inverse".
    welcome to my world :P
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