Let's set the stage by talking about exactly what a Tensor is. To do so, we should also talk a little bit about vectors and matrices as well. You can skip this section if you are already familiar, but it is short and if you already know about matrices and vectors, who knows, you might remember something you've forgotten! So go ahead and read it anyway!
Now, before we talk, let me show you a graphic that may make things a tad easier to visualize:
A vector is an array of numbers, as you can see here:
A matrix is a grid of n x m numbers, a two-dimensional array. We can do all kinds of neat operations on a matrix, such as addition and subtraction, so long as the sizes are compatible:
We can multiply matrices if we so desire, like this:
And matrices can be added together, like this:
In both cases, we are working within a two-dimensional space. So...