The difference between a matrix and a 2d array of numbers is the operations that are performed
A tensor really isn’t standardized in the same way so it’s basically just an n-d array in my mind
good ol’ nominal typing
You can force a 2D array to be a matrix if you’re clever enough
Well, it would still be a vector. So some standardisation.
Everything’s a matrix if u fuck with it hard enough
Everything’s a matrix if you realize there is no spoon
Sadly, they patched the spoon exploit.
You can still use
movd,movq,movups, etc.
A tensor is something that transform as a tensor. Gtfo Christoffel symbols.
How you describe a thing is different from what a thing is… A tensor is not a matrix.
And on mathematics, “what a thing is” is a completely useless concept… So, it makes no difference whatsoever.
the “categorical” way of defining tensor products is essentially “that thing that lets you turn multi-linear maps into linear maps”, and linear maps (of finite dimensional vector spaces) are basically matrices anyways. so i don’t see it as much of a stretch to say tensors are matrices.
(can you tell that i never took a physics class?)
