Exactly thats what i mean so as you said the pth row with one entry eliminate this variable and this reducing variety of the vectors in null space all i need is to be able to introduce a value for this eliminated variable in the pth row for example so it can be free variable and share the...
sorry for inconvenience but i am new , the set i have sent is the setting of the variables yes , if you mean what my ref matrix looklike so it doesnt look like you have sent it is just normal ref but with some rows with only one variables (column)
The original matrix is very large sparse matrix 3.5million * 650k with nnz elements 15million elements what i have done i have already calculated the row echelon form for this sparse matrix but in ref there are some rows with only one variable so when trying to solve this homogeneous system to...
During calculating null space from rref matrix some rows are with 1 variable so it give this variable value of zero so the null space of rank deficient matrix be for example {-1,2,0,3,-4,0} my question is how to get rid of zeros in the null space solution and only solve it as basic and free...