Consider the following information regarding the number of men and women workers in three factories I. II and III
Men Workers |
Women Workers |
|
I |
30 |
25 |
II |
25 |
31 |
III |
27 |
26 |
Represent the above information in the form of a 3 x 2 matrix. What does the entry in the third row and second column represent ?
In the matrix
(i) The order of the matrix
(ii) The number of elements,
(iii) Write the elements a13,a21 a33 a24’ a23
If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?
If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?
We know that a matrix of order m x n has mnelements. Therefore, for finding all possible orders of a matrix with 18 elements, we will find all ordered pairs with products of elements as 18
∴ all possible ordered pairs areall possible ordered pairs areall possible ordered pairs areall possible ordered pairs areall possible ordered pairs areall possible ordered pairs are (I, 18). (18, 1). (2, 9). (9. 2). (3, 6). (0, 3)
∴ possible orders are 1 x 18. 18 x 1. 2 x 9,-9 X 2, 3 x 6. 6 x 3.
If number of elements = 5, then possible orders arc 1 x 5. 5 x I.