In the previous chapter, there was an info box that introduced the concept of a tensor. That info box was a little simplified. If you google what a tensor is, you will get very conflicting results, which only serve to confuse. I don't want to add to the confusion. Instead, I shall only briefly touch on tensors in a way that will be relevant to our project, and in a way very much like how a typical textbook on Euclidean geometry introduces the concept of a point: by holding it to be self-evident from use cases.
Likewise, we will hold tensors to be self-evident from use. First, we will look at the concept of multiplication:
- First, let's define a vector: . You can think of it as this diagram:
- Next, let's multiply ...