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Hello.I need to make a lower triangular matrix. For example I have a matrix with dimension 4*10(4 rows and 10 columns).I am suppose to make a 4*4 lower triangular matrix in the left of the 4*10 matrix by replacing the columns with each other and also the rows.The name of columns is important for me. I should know witch columns has been replaced. I can do it on paper but I don't know how do it diagrammatically.Any help have been appreciated.

What I have tried:

I have googled this problem. But I couldn't find a good answer. however i find Gaussian algorithm but I do not know how it works. I know there is a function in Mat-lab software but I need it to use in c#?
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