# A Mathematical Approach to Tensors

17 min readJun 4, 2023

A matrix is a linear map of a vector to another vector. A tensor is a multilinear map of a tensor to another tensor.

There are a lot of bad explanations in science and math.

- “Spin is like a ball that’s spinning, except it’s not a ball and it’s not spinning.”
- “Entropy is disorder.”
- “A vector is an element of a vector space.”