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.
A = [ai j] is 2 x 2 matrix where , aij = 
If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?
We know that a matrix of order m x n has mn elements. Therefore, for finding all possible orders of a matrix with 24 elements, w e will find all ordered pairs with products of elements as 24.
∴ all possible ordered pairs are
(1, 24), (24. 1), (2, 12), (12. 2). (3, 8), (8, 3), (4. 6), (6, 4)
∴ possible orders are
1 x 24. 24 x 1, 2 x 12, 12 x 2, 3 x 8, 8 x 3, 4 x 6. 6 x 4
If number of elements =13, then possible orders are 1 x 13, 13 x l.
A = [aij] is 2 x 2 matrix where aij = 
In the matrix 
(i) The order of the matrix
(ii) The number of elements,
(iii) Write the elements a13,a21 a33 a24’ a23
( i) Now A has 3 rows and 4 columns and so A is of order 3 x 4.
(ii) Number of elements = 3 x 4 = 12
(iii) a13, =- 19., a21 =35, a33 = 5, J24 = 12, a23 
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