Question
If a matrix has 18 elements, what are the possible orders it can have? What if it has 5 elements?

Answer

Since, a matrix having mn element is of order m × n.
  1. Therefore, there are 6 possible matrices having 18 elements of orders 1×18, 2×9, 3×6, 18×1, 9×2, 6×3.
  2. Prime number 5 = 1×5 and 5×1. Therefore, there are 2 possible matrices of order 1×5 (Row matrix) and 5×1 (Column matrix).

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