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If a matrix has 28 elements, what are the possible order it ca

Question

If a matrix has $28$ elements, what are the possible order it can have? What if it has $13$ elements?

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If a matrix has

28

elements, what are the possible order it can have? What if it has

13

elements?

6 mins ago

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Text solutionVerified

We have that, If a matrix is of order

m \times n

, it has man elements, where

m

and

n

are natural numbers.
We have,

m \times n = 28

\Rightarrow (m, n) = {(1, 28), (2, 14), (7, 4), (14, 12), (28, 1)}

So, the possible orders are

1 \times 28, 2 \times 14, 4 \times 7, 7 \times 4, 14 \times 2, 28 \times 1

Also, if it has

13

elements, then

m \times n = 13

(m, n) = {(1, 13), (13, 1)}

Hence, the possible orders are

1 \times 13, 13 \times 1

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Question Text	If a matrix has $28$ elements, what are the possible order it can have? What if it has $13$ elements?
Answer Type	Text solution:1
Upvotes	150