Question

If a matrix has 24 elements, what are possible orders it can have? What, if it has 13 elements?

Answer 1

(i) 24 = 1 x 24 = 2 x 12 = 3 x 8 = 4 x 6
Thus, there are 8 matrices having 24 elements.
Their orders are 1 x 24, 24 x 1, 2 x 12, 12 x 2, 3 x 8, 8 x 3, 4 x 6, 6 x 4.

(ii) 13 = 1 x 13
There are 2 matrices of 13 elements of orders 1 x 13 and 13 x 1.