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Matrices
Question
If a matrix has 8 elements, what arc the possible orders it can have ?
Solution
We know' that if a matrix is of order m x n, it has mn elements. Therefore, for finding all possible orders of a matrix with 8 elements, we will find all ordered pairs of natural numbers, whose product is 8.
∴ all possible ordered pairs are (1.8), (8, I), (4, 2). (2, 4)
∴ possible orders are I x 8, 8 x 1, 2 x 4, 4 x 2.
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