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Math Help - Self outer product of a matrix

  1. #1
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    Self outer product of a matrix

    Hi

    How can we find the self outer product of matrix A?


    A=\begin{pmatrix}1&2&3\\4&5&6\end{pmatrix}

    Thanks
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  2. #2
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    Quote Originally Posted by dimper129 View Post
    Hi

    How can we find the self outer product of matrix A?


    A=\begin{pmatrix}1&2&3\\4&5&6\end{pmatrix}

    Thanks

    I'm afraid "self outer product" is not a common name for something in mathematics: what is it, exactly?

    Tonio
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  3. #3
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    The "outer product" of two n vectors is an n by n matrix and the tensor product (where two n by n tensor produce and "n by n by n by n" tensor) is often called an "outerproduct" so, at a guess, the "outer product" of two matrices written as n by m and j by k arrays is an n by m by j by k array (written in four dimensions, of course!) where the a_{mnij} entry is A_{ij}B_{jk}.

    That makes the calculation of this "outerproduct" easy but I'm not sure how one would represent that in 2D (on the screen).
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  4. #4
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    Thank you
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