https://www.bilibili.com/video/BV1ys411472E
概念
秩Rank
基础变换后的空间维数
线性相关
一组向量至少有一个是多余的，没有对张成空间做出任何贡献
At least one of these vectors is redundant, not adding anything to our span.
解释
你有多个向量，并且可以移除其中一个，而不减小张成空间。
Whenever this happens, where you have multiple vectors, and you could remove one without reducing the span
因为多余的向量已经落在其他向量的张成空间中，多余的向量可以表示为其他向量的线性组合
can be expressed as a linear combination of the others, since it's already in the span of the others.
线性无关
反之，所有的向量都给张成空间添加了新的维度。
if each vector really does add another dimension to the span