Remember how I said that linear algebra revolves around vector edition and scalar multiplication?

还记得我说过线性代数围绕着向量编辑和标量乘法吗？

The way you'll often hear this described is that linear transformations preserve the operations of vector edition and scalar multiplication.

您经常听到的描述是 线性变换保留了向量编辑和标量乘法的操作。

It's a little awkward to work with at 1st, because that left hand side represents matrix factor multiplication, but the right hand side here is scalar vector multiplication.

首先处理这个有点尴尬 因为左边表示矩阵因子的乘法 但右边是标量向量的乘法。

You'll see in the following videos what I mean when I say that linear algebra topics tend to revolve around these two fundamental operations vector edition and scalar multiplication.

在接下来的视频中 你会看到我说线性代数的主题往往围绕着这两个基本运算向量变换和标量乘法。

Well, the span of two vectors is basically a way of asking, what are all the possible vectors you can reach using only these two fundamental operations, vector edition and scalar multiplication?

好的 两个向量张成的空间基本上是一种问 你能得到的所有可能的向量是什么只用这两个基本操作 向量编辑和标量乘法？