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Math Help - Matrix

  1. #1
    Member roshanhero's Avatar
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    Matrix

    Explain why the notation A/B is ambiguous when A and B are matrices,even if det B isnot equal to 0.
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  2. #2
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    It's not ambiguous, the operation of dividing one matrix by another is not defined.
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  3. #3
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    I disagree with BobP. "Dividing", in any group, field, or ring, means multiplying by the inverse and is defined in a vector field.

    The "ambiguity" is in A/B, and the reason "multiplying by the inverse" is never written that way, is that multiplication of matrices is not commutative. That could mean either AB^{-1} or B^{-1}A.
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