Solving systems of linear equations through zero forcing set and application to lights out

Jianbo Wang, Chao Xu, Siyun Zhou

Let $\mathbb{F}$ be any field, we consider solving $Ax=b$ repeatedly for a matrix $A\in {\mathbb{F}}^{n\times n}$ of $m$ non-zero elements, and multiple different $b\in {\mathbb{F}}^n$…