This document discusses the use of matrices in different fields and contexts. It explains that matrices are used in physics applications like electrical circuits, quantum mechanics, and optics. In robotics and automation, matrices are the basic components for robot movements. The document also notes that matrices are commonly used tools in business, such as for linear programming to determine profitable product ingredients and in decision making processes. It provides an example of how matrices can represent transition probabilities and current populations to model changes in satellite television subscriptions over time between two competing companies.

2. In physics related applications,
matrices are used in the study of
electrical circuits, quantum
mechanics and optics.
In robotics and automation,
matrices are the basic
components for the robot
movements.
IN DALIY
LIFE

3. 
MATRIX IN BUSINESS
Matrices are one of the
most commonly used tools
in business. They are used
in linear programming to
determine the most
profitable combination of
ingredients in a product.
They are also used
extensively in the decision
making process.

4.  USE
MATRIX
IN
BUSINESS

5. 
 COMPANY A
Two competing companies offer
satellite television service to a city
with 100,000 household
COMPANY B
Household

6. This chart show changes in satellite subscriptions
every year
 15%
 10%
 15%
 5%
 20%
 15% 80%70%
No Satellite television
80%

7. Company A now
has 15,000
subscribers and
Company B has
20,000 subscribers

9. 0.70
0.20
0.10
0.150.15
0.70
0.80
0.05
0.15
15,000
20000
25000
The matrix representing the given transition probabilities is
and the state matrix representing the current populations in the three
states is
A B None
A
B
None

10. 0.70
0.20
0.10
0.150.15
0.70
0.80
0.05
0.15
15,000
20000
25000
To find the state matrix representing the populations in the three
states in one year,
Multiply P by X to obtain
PX =
23,250
28700
48000
=

11. 23,250 Subscribers 28,700 Subscribers

12. 
Presented by : Akash kumar
B.B.A -1 year