If a matrix has 24 elements, what are possible orders it can have… - Vidyadip

Question

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

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Answer

Since, a matrix having mn element is of order m × n.

Therefore, there are 8 possible matrices having 24 elements of orders 1 × 24, 2 × 12, 3 × 8, 4 × 6, 24 × 1, 12 × 2, 8 × 3, 6 × 4.
Prime number 13 = 1 × 13 and 13 × 1. Therefore, there are 2 possible matrices of order 1 × 13 (Row matrix) and 13 × 1 (Column matrix).

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