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If a matrix has 8 elements, what are the possible order it can have? -

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Question

If a matrix has 8 elements, what are the possible order it can have?

Options

  • 1 × 8

  • 8 × 1

  • 4 × 20

  • All of these

MCQ

Solution

All of these

Explanation:

We know that if a matrix has mn elements, it is of order m × n. To find all possible orders of an 8 element matrix, we will find all order pairs of natural numbers whose product is 8.

Thus, all possible ordered pairs are (1, 8), (8, 1), (4, 2), (2, 4).

Hence, possible orders are 1 × 8, 8 × 1, 4 × 2, 2 × 4

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