A linear dependence relation on $v_1,\ldots,v_k$ is an equation $c_1v_1+\cdots+c_kv_k=0$. It is nontrivial if at least one coefficient is nonzero. A list is dependent exactly when it admits a nontrivial relation. For $(1,0),(2,0)$, the relation $2v_1-v_2=0$ proves dependence.
Parents
Like how this is organised?
Build your own knowledge tree on knowen.md: notes, decisions and tasks in one connected markdown graph, shared with your team and your AI agents.