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Question
If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements?
Sum
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Solution
We know that if a matrix is of order `m xx n` then it has mn elements.
The possible orders of a matrix with 8 elements are given below:
1 x 8, 2 x 4, 4 x 2 , 8 x 1
Thus, there are 4 possible orders of the matrix.
The possible orders of a matrix with 5 elements are given below:
1 x 5, 5 x 1
Thus, there are 2 possible orders of the matrix.
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