Matrices &
It’s Applications
Clarissa Dsouza
Dadasaheb Khade
Jaydeep Tahashildar
Merwyn Sequeira

What are Matrices:
In mathematics, a matrix (plural
matrices) is a rectangular array of
numbers, symbols, or expressions,
arranged in rows and columns.
The individual items in a matrix are called
its elements or entries.

Application of Matrices
 In physics related applications,
matrices are applied in the study of
electrical circuits, quantum mechanics
and optics.
 One of the most important usages of
matrices in computer side applications
are encryption of message codes.
 In geology, matrices are used for
taking seismic surveys.

Application of Matrices
 Matrices are used in representing the real world
data’s like the traits of people’s population, habits,
etc.
 Matrices are used in calculating the gross domestic
products in economics which eventually helps in
calculating the goods production efficiently.
 In robotics and automation, matrices are the base
elements for the robot movements. The
movements of the robots are programmed with the
calculation of matrices’ rows and columns. The
inputs for controlling robots are given based on the
calculations from matrices.

Problem
 A supplier supplies coffee beans to the below
shops A, B and C in bags of;
- 5kg at cost price of ₹10.60
- 10kg at cost price of ₹17.20
- 15kg at cost price of ₹ 22.50
5 Kg at ₹ 10.60
per bag.
10 Kg at ₹ 17.20
per bag.
15 Kg at ₹ 22.50
per bag.
Shop A 50 Bags 100 Bags 30 Bags
Shop B 60 Bags 150 Bags 40 Bags
Shop C 80 Bags 200 Bags 70 Bags

1st Question:
Q) Find the total cost price of the beans
delivered to each shop?
50 100 80
60 150 40
80 200 70
10.60
17.20
22.50
3 x 3 3x 1
Matrices Multiplication
Rule
P[ ] mxn Q[ ] mxn
P = Q =

50 100 80
60 150 40
80 200 70
10.6
0
17.2
0
22.5
0
50 x 10.60 + 100 x 17.20 + 80 x
22.50
60 x 10.60 + 150 x 17.20 + 40 x
22.50
80 x 10.60 + 200 x 17.20 + 70 x
22.50
4050
4136
5899
Ans: The total cost price of beans delivered to each shop
is ₹ 4050.0, ₹ 4136.0, ₹ 5899.0

Q) In Jan 2014, Shop A, B and C received
15, 10 and 5 such deliveries respectively.
Find the total number of 5kg,10Kg and 15 kg
bags delivered in Jan 2014?
15 10 5
50 100
80
60 150
40
80 200
70
X = Y =
1 x 3 3 x 3
15 x 50 + 10 x 60 + 5 x 80
15 x 100 + 10 x 150 + 5 x 200
15 x 80 + 10 x 40 + 5 x 70

 Ans: The total number of 5kg, 10kg and 15kg
bags delivered in Jan 2014 is 1750 bags, 4000
bags and 1950 bags.
1750
4000
1950

.