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If a matrix has 24 elements, what are the possible order it can have? ...

If a matrix has 24 elements, what are th | Class 12 Mathematics Chapter Matrices, Matrices NCERT Solutions

Question: If a matrix has 24 elements, what are the possible order it can have? What, if it has 13 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 24 elements, we have to find all the ordered pairs of natural numbers whose product is 24.

The ordered pairs are: (1, 24), (24, 1), (2, 12), (12, 2), (3, 8), (8, 3), (4, 6), and
(6, 4)

Hence, the possible orders of a matrix having 24 elements are:

1 × 24, 24 × 1, 2 × 12, 12 × 2, 3 × 8, 8 × 3, 4 × 6, and 6 × 4

(1, 13) and (13, 1) are the ordered pairs of natural numbers whose product is 13.

Hence, the possible orders of a matrix having 13 elements are 1 × 13 and 13 × 1.

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Comments

Sandeep Gupta
2017-06-12 08:50:33

12*1, 1*12, 4*3, 3*4, 6*2, 2*6

Soumitra paul
2017-02-23 21:59:28

If a matrix has 12 elements, what are the possible order it can have?

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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 2: If a matrix has 24 elements, what are the possible order it can have? What, if it has 13 elements?....

If a matrix has 24 elements, what are th | Class 12 Mathematics Chapter Matrices, Matrices NCERT Solutions

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