I am showing a few Solved Matrices Problems
Problem - 1 - 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 of natural 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
Problem 2 - Consider the following information regarding the number of men and women workers in three factories I, II and III
The information is represented in the form of a 3 × 2 matrix as follows:
The entry in the third row and second column represents the number of women
workers in factory III.
Will be back with more matrices problems
Problem - 1 - 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 of natural 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
Problem 2 - 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 × 2 matrix. What does the entry
in the third row and second column represent?
The information is represented in the form of a 3 × 2 matrix as follows:
The entry in the third row and second column represents the number of women
workers in factory III.
Will be back with more matrices problems
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