The technical definition of a basis of a space is a set of linearly independent vectors that span that space.

空间基的专业定义是一组线性无关的向量 它们张成空间。

On the other hand, if each rector really does add another dimension to the span, there said to be linearly independent.

另一方面 如果每个矩形确实给张成的空间增加了另一个维度 这就是线性无关的。

Now, given how I described a basis earlier, and given your current understanding of the words span and linearly independent, think about why this definition would make sense.

现在 考虑到我之前是如何描述一组基的 以及你目前对张成空间和线性无关的理解 想想为什么这个定义是有意义的。