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If a matrix has 18 elements, what are the possible orders it can have?...

If a matrix has 18 elements, what are th | Class 12 Mathematics Chapter Matrices, Matrices NCERT Solutions

Question: If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

Answer:

We know that if a matrix is of the order m × n, it has mn elements. Thus, to find all the possible orders of a matrix having 18 elements, we have to find all the ordered pairs of natural numbers whose product is 18.

The ordered pairs are: (1, 18), (18, 1), (2, 9), (9, 2), (3, 6,), and (6, 3)

Hence, the possible orders of a matrix having 18 elements are:

1 × 18, 18 × 1, 2 × 9, 9 × 2, 3 × 6, and 6 × 3

(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 × 5 and 5 × 1.

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Comments

mausam
2019-06-26 08:13:15

nice

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Welcome to the NCERT Solutions for Class 12 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 1 , Question 3: If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?....

If a matrix has 18 elements, what are th | Class 12 Mathematics Chapter Matrices, Matrices NCERT Solutions

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