I need to resolve an undeterminated matrix that corresponds to an Flux balance Analysis applied on Glicolysis pathway, I have 19 metabolites in the rows, and 40 fluxes in the columns. I want to know about its null space, rank, and space dimensions... Some programs? or any methods? Some ideas?
How can I resolve a matrix of 13 rows and 40 columns?
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linear-algebra
abstract-algebra
matrices
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3It looks like part of your question got cut off. You can edit your question to put the rest in - click the "edit" button that is underneath the tags of your question. Also, it would be useful if you could explain more about where this problem is coming from. – 2012-05-24
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0Try online matrix calculators. There most certainly should be some. – 2012-05-24
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0There are many all-purpose commercial mathematical programs that will handle this: Maple, Mathematica, Matlab, etc. There's a package called Linpack designed for linear algebra. I wouldn't be surprised to learn that Excel can handle this kind of problem. – 2012-05-24
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0There is also Octave, which is free, and should certainly be able to handle a $19 \times 40$ system of equations. – 2012-05-24
1 Answers
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You need to be a little more specific about what you want to achieve but here's something you could get started with:
Fire up Octave. Relevant Functions:
a = rand(19,40) %Just to get a random matrix to work with. null(a) %Null space rank(a) %Rank rref(a) %Row Reduced Echelon Form
Anything else you need?