Timeline for Inverse of a matrix over a non-commutative ring
Current License: CC BY-SA 3.0
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| Nov 26, 2011 at 16:11 | comment | added | Alan Swindells | Thanks for the comprehensive answer. I'm not sure I made the problem statement clear enough. I have a matrix of non-commuting elements - which happen to themselves be matrices. This is different to considering a matrix in blocks (i.e. the method of taking (n-1) sized blocks and reducing it; or David Speyer's suggestion at the top). I think your initial suggestion of using LUD and carefully watching the order of multiplication is what I will have to do. That also means there will be both a left and right inverse. | |
| Nov 26, 2011 at 15:14 | history | answered | Alexander Chervov | CC BY-SA 3.0 |