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    Ring Theory : Matrix Proof

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    Prove that if [a , b] = [a΄, b΄] and [c , d] = [c΄, d΄] then [a , b][c , d] = [a΄, b΄][c΄, d΄].

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    Modern Algebra
    Ring Theory (VI)
    The Field of Quotients of an Integral Domain


    Solution Summary

    A matrix proof is provided. The solution is detailed and well presented.