most recent 30 from http://mathoverflow.net 2013-05-20T00:43:29Z http://mathoverflow.net/feeds/question/104078 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/104078/matrix-mutiplication-through-matrix-logarithms-and-exponentials unknown (google) 2012-08-06T05:32:04Z 2012-08-07T03:52:19Z

<p>Let $A,B$ be full rank $n \times n$ matrices. If $AB = BA$, then $\exp(\log(A)+\log(B))=AB$.</p> <p>Supposing $A = USL$ and $B = VSL$ where $U,V,S,L$ are integer valued matrices, $det(L)=1$ and $U = LVL^{-1}$. If $AB = (USL)(VSL) = (L(VSL)L^{-1})(L^{-1}(USL)L) = (LBL^{-1})(L^{-1}AL)$, is there a possibility to use exponentials to calculate $AB$?</p>