algebra of matrices ex 5.1 qt x n, it has mn elements. thus ......algebra of matrices ex 5.1 qt we...

Algebra of Matrices Ex 5.1 Qt

We know that if a matrix is of the order m X n, it has mn elements. Thus, to find all the possible orders of a matrix having 8 elements, we have tofind all the ordered pairs of natural numbers whose products is 8.

The ordered pairs are: (1 X 8), (8 X 1), (2 X 4), (4 X 2)

( 1,5) and (5, 1) are the ordered pairs of natural numbers whose product is 5.

Hence, the possible orders of a matrix having 5 elements are 1 X 5 and 5 X 1

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