Matrices and binomial coefficients`

In a chapter "Review of Matrices" of the textbook "Elementary Differential Equations" I got a good ways into the chapter before encountering matrices having one column and two rows. They are mixed in spatial problems with matrices having two columns and two rows, three columns and 3 rows, etc. I was transcribing them all the same when I realized that in a separate chapter of the Nemeth code the one column/two row "matrix" is defined as a binomial coefficient and transcribed linearly. Nowhere in the chapter I am transcribing are these referred to by that name.

The chapter has many spatial multiplications of matrices. It seems cumbersome to have the linear form mixed in with the spatial form of the higher matrices. Is it OK to make them spatial instead of linear?