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February 3rd, 2010, 02:13 PM  #1 
Newbie Joined: Feb 2010 Posts: 2 Thanks: 0  Linear equation problem
This doesn't seem too hard, but I just can't figure it out... any help would be greatly appreciated! Here it goes: I have a matrix of measured data points (, i.e. rows and comlumns). I know that the matrix is made up of the product of a column vector with a row vector , added to the product of a column vector of ones with another row vector . In other words, and the , are the same within each row and the and , are the same within each column. The are known (measured) and the , and are unknown. Therefore there are equations and unknown values. For example a matrix would provide 9 equations for 9 variables and there should be an exact solution. Any larger matrix would be overdetermined and should provide redundant equations for the , and (which could be used for calculating averages and estimating measurement errors). How can the , and be calculated? Thanks again for any help or advice on this! (for some reason the latex \overrightarrow did not work, so I used \overline to designate a vector...) 
March 9th, 2010, 04:06 PM  #2 
Newbie Joined: Feb 2010 Posts: 2 Thanks: 0  Re: Linear equation problem
Hi Everyone  no replies yet? Maybe the problem is harder than I thought...? Any thoughts or ideas would be very much appreciated, though: Maybe it was just a dumb question to ask? Maybe this is not solvable because of some fundamental/logical reasons? Or, if this is not obviously the case, maybe you know of another place where I could post this question? Thanks again! 

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