The Use of the Term 'dimension' to Descibe Arrays and Vectors

In math, computer science, and machine learning, the meaning of the term dimension depends on the context. When describing arrays/matrices, dimensionality refers to the indices. For example, the following array is a 2D array. It has 4 rows and 3 columns:

array([[0., 0., 0.],
       [0., 0., 0.],
       [0., 0., 0.],
       [0., 0., 0.]])

If the same array is interpreted as vectors, each row is a 3D vector, and each column is a 4D vector.