Question

$\huge{\underline{\bf\orange{Question}}}$A matrix has 18 elements. What are the possible orders it can have ? What if it has 5 elements.wrong answer will be...​

Answer 1

$\huge{\underline{\bf\orange{Question}}}$

A matrix has 18 elements. What are the possible orders it can have ? What if it has 5 elements.

Answer:-

We know that if a matrix is of the order m×n ,it has mn elements.

Thus, to find all the possible orders of a matrix having 18 elements, we have to find all the ordered pairs of natural numbers whose product is 18.

The ordered pairs are : (1,18),(18,1),(2,9),(9,2),(3,6)and(6,3)

Hence the possible orders of a matrix having 18 elements are:1×18,18×1,2×9,9×2,3×6and6×3

(1,5) and (5,1) are the only ordered pairs of natural numbers whose product is 5.

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Answer 2

Answer:

$\huge{\underline{\bf\orange{Answer}}}$

Thus, to find all the possible orders of a matrix having 18 elements, we have to find all the ordered pairs of natural numbers whose product is 18. (1, 5) and (5, 1) are the ordered pairs of natural numbers whose product is 5. Hence, the possible orders of a matrix having 5 elements are 1 × 5 and 5 × 1.

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