We're doing linear algebra here. It's called a matrix.
Somehow, while I wasn't looking, the word "matrix", referring to N-dimensional arrays of scalars which are the subject of linear algebra, got renamed "tensor".
I find that a bit odd, since a tensor is a very specific use of the matrix by physics, a use which bears little or no relation to the use of matrices in the programming of neural networks.
I'll give you this, though: the word "tensor" is a lot cooler and edgier than the far more appropriate, but old and stodgy term, "matrix".
Source: someone who started studying linear algebra and physics around 1972.