Question

If a matrix has 9 elements, what are the possible orders it can have?
1. 2
2. 3
3. 4
4. 5

Answer 1

Correct Answer - Option 2 : 3

Concept:

If a matrix is of order m × n, it has mn elements.

Calculation:

Thus, to find all possible orders of a matrix with 9 elements, we will find all ordered pairs of natural numbers, whose product is 9

All possible ordered pairs are (1, 9) (9, 1) (3, 3)

Then possible orders are 1 × 9, 9 × 1, 3 × 3