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Question

If a matrix A consists of n number of elements and m is the possible number of order(s) for matrix A, where (n>0), then which of the following is always correct

A
m=1, when n is prime.
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B
m=2, when n is prime.
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C
m>2, when n is not prime.
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D
m>2, when n is prime.
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Solution

The correct option is B m=2, when n is prime.
We know, for n to be a prime number, have only two factors 1 and n.
So, possible orders are 1×n or n×1. and
for non-prime number (n1), have more than two factors.
So, for non-prime numbers (n1), will have more than two possible orders.
But 1 is not a prime number and for that only one possible order, i.e. 1×1.

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