If a matrix has 8 elements,what are the possi | vedclass

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(A) We know that if a matrix is of order $m 	imes n$,it has $mn$ elements. To find all possible orders of a matrix with $8$ elements,we need to find

Vedclass · Accepted Answer

$1 	imes 8, 8 	imes 1, 4 	imes 2, 2 	imes 4$

Vedclass · Answer

(A) We know that if a matrix is of order $m 	imes n$,it has $mn$ elements. To find all possible orders of a matrix with $8$ elements,we need to find all pairs of natural numbers $(m, n)$ such that their product $mn = 8$. The factors of $8$ are $1, 2, 4, 8$. The possible pairs $(m, n)$ are: $1 	imes 8 = 8$ $8 	imes 1 = 8$ $4 	imes 2 = 8$ $2 	imes 4 = 8$ Therefore,the possible orders are $1 	imes 8, 8 	imes 1, 4 	imes 2,$ and $2 	imes 4$.

If a matrix has $8$ elements,what are the possible orders it can have?

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