26 Represent the above information in the form of a 3 2 matrix What does the entry in the third row and second column represent 38 MATHEMATICS Solution The information is represented in the form of a 3 x 2 matrix as follows 30 25 A 25 31 27 26 The entry in the third row and second column represents the number of women workers in factory III Rationalised 2023 24 Example 2 If a matrix has 8 elements what are the possible orders it can have Solution We know that if a matrix is of order m n it has mn elements Thus to find all possible orders of a matrix with 8 elements we will find all ordered pairs 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 Now Example 3 Construct a 3 2 matrix whose elements are by aj Solution In general a 3 2 matrix is given by Therefore 21 11 i 3j i 1 a11 13 3 11 0 3 and j 1 2 912 1 3 2 a32 921 922 a31 a32 2 12 3 11 4 12 3 21 2 Hence the required matrix is given by A 21 2 H 0 52 2 3x2 2 1 11 3 3x2 noxto be ravishe 3 i 3jl