Recent content by patbuzz

  1. P

    Proving det(xy) = det(x) det(y) for R Matrices Over Zp

    Oh well, you're right. Sorry!
  2. P

    Proving det(xy) = det(x) det(y) for R Matrices Over Zp

    Right on! So your proof applies to it as well.
  3. P

    Proving det(xy) = det(x) det(y) for R Matrices Over Zp

    You can say that because R\in\mathbb{M}_{2\times 2}!
  4. P

    Proving det(xy) = det(x) det(y) for R Matrices Over Zp

    Hi! Everything seems all right. In particular, your proof is applicable in the ring R since R\in\mathbb{M}_{2\times 2}. Binet-Cauchy formula states that for any square matrix A,B of the same order, det(AB)=det(A) det(B) = det(BA) Hence, that property of determinants has nothing to do with the...
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