Consider the following information regarding the number of men a

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 Multiple Choice QuestionsShort Answer Type

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1.

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 ?


The given information is

Factory

Men Workers

Women Worker:

I

, 30

25

II

' 25

31

III

27

26

The information is represented in the form of a 3 X 2 matrix as follows :

straight A equals open square brackets table row 30 25 row 25 31 row 27 26 end table close square brackets

The entry in the third row and second column represents the number of women workers in factory III.

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2.

In the matrix straight A equals open square brackets table row 2 5 19 cell negative 7 end cell row 35 cell negative 2 end cell cell 5 over 12 end cell 12 row cell square root of 5 end cell 1 cell negative 5 end cell 17 end table close square brackets. space Write

(i) The order of the matrix
(ii) The number of elements,
(iii) Write the elements a13,a21 a33 a24’ a23

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3.

If a matrix has 8 elements, what arc the possible orders it can have ?

 
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4.

If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?

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5.

If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

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6. If a matrix A has 12 elements, what arc the possible orders it can have 7 What if it has 7 elements ?
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7. Construct a 3 x 3 matrix w'hose elements are giv en by a,1, = 2 i – 3 j
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8. Construct a 3 x 4 matrix whose elements are

ai  j = i +J  
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9. Construct a 3 x 4 matrix whose elements are

ai  j = i –J
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10. Construct a 3 x 4 matrix whose elements are

ai j = i.j
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