I read that there's a sort of natural extension from scalars to vectors to matrices to tensors. The way I understand it, a scalar is a simple value. Extending on to a vector gives not only a value, but a direction. This is where I'm kind of stuck...how is a matrix an extension of the concept of a vector? Going on what I know, which isn't much, I'd say that perhaps it represents all the possible points a specific vector can point to, or something along those lines... And then tensors...does a tensor kind of represent all possible paths something can take in not only space but time as well? That's kind of what I've picked up... Any serious contributions are much appreciated.