It turns out that scalars also share this coordinate invariance property.

事实证明，标量也具有这种坐标不变性。

And what are vectors? Scalars? And what does this mean?

什么是向量？标量？这是什么意思？

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。

The distance between you and a bench, and the volume and temperature of the beverage in your cup are all described by scalars.

你和长凳之间的距离，以及你杯子里饮料的体积和温度，都是用标量来描述的。

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。

Our concept of the character is actually a composition of multiple Unicode scalar values, and decomposing these correctly is critical to getting that fidelity with Unicode, the characters, and the string API.

我们对于字符的概念实际上是由多个统一码标量值构成的，正确地把它解构对于统一码的精确性以及字符和字符串 API 的精确性都至关重要。

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。

But some special vectors do remain on their own span, meaning the effect that the matrix has on such a vector is just to stretch it or squish it like a scalar.

但是一些特殊的向量仍然在它们自己张成的空间上 这意味着矩阵对这样一个向量的作用就是拉伸它或者像挤压标量一样挤压它。

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？