If a matrix has 18 element, what are the possible orders it can h… - Vidyadip

Question

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

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Answer

We know that a matrix of order m × n has m n elements. Therefore, for finding all possible orders of a matrix with 18 elements, we will find all ordered pairs with products of elements as 18.$\therefore$ all possible ordered pair are all possible ordered pairs are all possible ordered pair are all possible ordered pairs are all possoble ordered pairs are all possible ordered pairs are(1, 18), (18, 1), (2, 9), (9, 2), (3, 6), (6, 3)
$\therefore $ possible orders are 1 × 18, 18 × 1, 2 × 9, 9 × 2, 3 × 6, 6 × 3.
if number of elements = 5, then possible orders are 1 × 5, 5 × 1.

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