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I have a binary square matrix $A$ of size $n=n_1+n_2$. I have to solve system of linear equations $AX=b$. I known for each row out of first $n_1$ entries $l_1$ are 1 and next $n_2$ entries $l_2$ are 1 where $l_1\ll n_1$ and $l_2 \ll n_2$. So matrix is very much sparse. What is the time complexity to find the solution? My matrix is very sparse like $n_2=2^{20}$ and $l_2=20$.

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  • $\begingroup$ Are you assuming conventional arithmetic or arithmetic modulo 2? Do you want to find an integer solution, or would a real solution be OK? $\endgroup$ – Brian Borchers Jan 6 at 23:25
  • $\begingroup$ Operations are Arithmetic mod 2 and I need binary solutions. $\endgroup$ – user12290 Jan 8 at 0:45

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