A sheer E.G. doesn't have enough eigen vectors to span the full space.

纯粹的E G 没有足够的特征向量来张成整个空间。

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。

But for this video, will limit our view to the case of a non zero determinant, meaning the outputs of this transformation still span the full dimensional space that it started in.

但是在这个视频中 我们将把视野限制在非零行列式的情况下 这意味着这个变换的输出仍然张成了它开始时所在的全维空间。