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Math Help - High-dimensional matrix multiplication

  1. #1
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    High-dimensional matrix multiplication

    Given two 3*3 matrices A and B, each of which is also a vector field, that is,
    each entry of A or B is a vector. For example,

    A= \begin{bmatrix} (1,2) & (1,3) & (2,5) \\ (2,2) & (3,2) & (4,2) \\ (2,4) & (2,1) & (3,5) \end{bmatrix}

    Does anybody know how to calculate the multiplication of A and B?

    Thanks!
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  2. #2
    Member Greengoblin's Avatar
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    I would have thought you would use a normal matrix multiplication as you would with scalar entries. except with vectors there is no straight forward multiplication defined - only cross product (only in R^3) - and scalar product, which is definately more likely if it's not specified.
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