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

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(i) 18 = 1 x 18 = 2 x 9 = 3 x 6
There are 6 matrices of orders 1 x 18, 18 x 1, 2 x 9, 9 x 2, 3 x 6, 6 x 3.

(ii) 5 = 1 x 5
There are two matrices with 5 elements of orders 1 x 5 and 5 x 1.

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