Page 75 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes
8 15 24 47
16 25 36 77
28 40 54 122

x 47, y 77, z 122.

1 3 5 0 1 2 9 8 7
Example: Evaluate: 2 3
2 4 6 3 4 5 6 5 4

Solution:

1 3 5 0 1 2 9 8 7
2 3
2 4 6 3 4 5 6 5 4

1 3 5 0 2 4 27 24 21
2 4 6 6 8 10 18 15 12

1 0 27 3 2 24 5 4 21 26 19 12
2 6 18 4 8 15 6 10 12 10 3 4

5 1
Example: Find the matrix X such that A 2X B given that A and
4 7
2 5
B
4 9

Solution:
A 2X B

2X B A

1
X (B A )
2

1 2 5 5 1 1 3 4
2 4 9 4 7 2 0 2

3
2
i.e., X 2
0 1

3.6 Summary

In this unit we have studied the concepts of matrices their importance in solving real
world problems of business. While a matrix is an array of numbers arranged into certain
number of rows and columns.
A matrix is an ordered rectangular array of numbers or functions.A matrix having m rows
and n columns is called a matrix of order m × n.

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