# Questions tagged [linear-algebra]

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### Given a system in $\mathbb{F}_2$ in RREF, how do I find a solution of minimal norm?

I have a $12 \times 12$ (so not really large) system of linear equations in $\mathbb{F}_2$ which I got to RREF through the usual row reduction. Suppose the system has multiple solutions, and call the ...
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### How do you solve a general linear diophantine equation in polynomial time (with minimization constraint)?

Given $$a_1 X_1 + \dots + a_n X_n = b$$ where $a_i, b \in \Bbb{Z}$. How do you come up with a clearer picture of the solution set in polynomial time. Also, what I really want is to do the above,...
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### Convergence of Conjugate gradient method

I have implemented my own matrix library in Java to solve fluid simulations. So I have also implemented the conjugate gradient method and I got a little bit confused. What I have done to test my CG-...
1answer
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### Recover boolean vector from dot products

Question: I want to determine a boolean vector $b \in \{0,1\}^n$ consisting of zeros and ones, but cannot access it directly. I can only call a black-box computer code which will take the dot product ...
1answer
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