question_answer 1)

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

Answer:

To find al possible lorders of a matrix with 24 elements, we will find all ordered pairs of natural numbers, whose product is 24. Such ordered pairs are (1, 24), (2, 12), (3, 8), (4, 6), (6, 4), (8, 3), (12, 2), (24, 1). Hence possible orders are 1 × 24, 2 × 12, 3 × 8, 4, 6, 6 × 4, 8 × 3, 12 × × 2, 24 × 1. For a matrix with 13 elements, possible ordered pairs are (1, 13), (13,1). possible orders are 1 ×13 and 13 × 1.