Paper 4: Fundamentals of Business Mathematics & Statistic

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.57

SELF EXAMINATION QUESTIONS

(1) Find A3x3 where aij

1 1 13

i^2

Ans. 2 (^123)
j 3 3
2 1

  

  

=   

  

  

  

(2) Find A2x3 where aij = +i 2 jAns.3 5 74 6 8
  

TYPE OF MATRICES

1. RowMatrix
   A matrix having only one row and n columns is called row matrix. i.e. [a 11 a 12 a 13 ..... a1n]1xn
   For example [2 3 4 5]1x4


2. Column Matrix

A matrix having only m rows and one column is called column matrix i.e.

11

21

m1

a

a

:

a

i.e.

4 x1

1

2

3

4

 

 

 

 

 

 

3. Square Matrix
   A matrix order m x n called square matrix where m = n, i.e., it has same numbers of rows and columns.
   Say for example

2 x 2 3 x 3

1 2 a b c

3 4 d e f

g h i

   

 

    

 

4. Diagonal Matrix
   A square matrix having main diagonal elements non zero and other elements are zero is called diagonal
   matrix.

2 x 2 ' 3 x 3

a 0^100

0 b^020

0 0 3

   

   

   

 

5. Scalar Matrix
   A diagonal matrix having each diagonal element equal is called scalar matrix.
   For i.e.

2 x 2 ' 3 x 3

k 0 a^00

0 k^0 a^0

0 0 a

   

 

    

 