To add to the confusion, Mathematicians and Physicists often disagree on what that word means. A Physicist's tensor is often a mathematicians tensor field.

An appropriate tensor can certainly be represented by a multidimensional array but not all multidimensional arrays are tensors. It depends on how that multidimensional array participates with others.

For example, (lat, long) is not a 2d vector although it can be represented as a 2 dimensional array.