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Math Help - Find a matrix

  1. #1
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    Red face Find a matrix

    Find a matrix A such that

    [1 3 2] [ 7 1 3]
    [2 1 1]A=[ 1 0 3]
    [4 0 3] [-1 -3 7]

    Each set of 9 numbers should only be in one bracket, but I didn't know how to do that on the computer. I know how to add and multiply matrices, but I can't even figure out what this problem is asking for.
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  2. #2
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    Let your left matrix be S and your right matrix be T. Multiply both sides from the left by the inverse of S:
    \underbrace{{\color{blue}S^{-1}}S}_{I_{3}}A = {\color{blue}S^{-1}}T \: \: \Rightarrow \: \: A = S^{-1}T

    A matrix multiplied by its inverse will yield the identity matrix.
    So find the inverse of S and multiply it with T to find A.
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  3. #3
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    thanks so much, that's the exact help I needed!!
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