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if a matrix 24 elements what are the possible orders it can have?


wizard ankit 11th Aug, 2021
Answer (1)
ginnisachdeva02_9364270 Student Expert 11th Aug, 2021

Hi Ankit!

As we know that if a matrix is of order m x n , it has mn elements. So, to find the possible orders of the matrix which has 24 elements, we need to find all the ordered pairs of all the natural numbers whose product becomes 24. Such orders/numbers can be:

(1, 24) , (2, 12), (24, 1), (12, 2), (3, 8), (4,6), (8,3) and (6, 4).

Therefore, the possible orders of the matrix having 24 elements are:

1x24, 24x1, 2x12, 12x2, 3x8, 8x3, 4x6, 6x4.

Hope it helps to clear your dilemma, thankyou!

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