Paper 4: Fundamentals of Business Mathematics & Statistic

2.64 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS

Algebra

Solution:

3x + y =

2 7

8 9

 

   (i)

2x – y =

3 3

12 11

 

  (ii)

Adding (i) & (ii)

5x =

5 10

20 20

 

 

x =

1 5 10

5 20 20

 

 

1 2

4 4

= 

  

Put x in (i)

3 1 2 y 2 7

4 4 8 9

 + =  

     

y 2 7^36

8 9 12 12

=  − 

     

y^11

4 3

=− 

− − 

Example 110: Find A^2 + 3A – 2I

Where A =  5 71 3

 

Solution: A^2 + 3A – 2I

1 3 1 3 3 1 3 2 1 0

5 7 5 7 5 7 0 1

=       + −

              

16 24 3 9 2 1 0

40 64 15 21 0 1

=  +   −

        

17 33

55 83

= 

 

SELF EXAMINATION QUESTIONS

(1) Find a, b, c & d

Where

2a b c d 12 2

3a b 2c 3d 13 9

 + −   =

 − +     

(Ans. a = 5 b = 2 c = 3 d = 1)