In mathematics, a tensor is an algebraic object that describes a (multilinear) relationship between sets of algebraic objects related to a vector space. Objects that **tensors** may map between include vectors and scalars, and even other **tensors**.

A **tensor** is a generalization of a **vector** (not a matrix, exactly). ... A **vector** is a tuple that obeys the correct transformation laws - for example, if you perform a rotation represented by matrix R, the new **vector** V' = RV. A **tensor** is a generalization of this to more dimensions.

X can be a tensor of information, an n-dimensional matrix.