Linear algebra deals with vectors, matrices, and linear mappings between spaces. Some applications of linear algebra include global positioning systems (GPS), ranking in search engines, decision tree induction, and testing software code. GPS uses linear algebra concepts like trilateration to determine a receiver's location based on distance measurements to at least three satellites, with a fourth satellite increasing accuracy. The GPS system calculates distances based on signal travel times from satellites to the receiver.

1. Applications of linear algebra
Presented by : Minakshi B
Riya C
Sahana K
Rohit H

2. introduction

3. What Is Linear Algebra
The branch of mathematics that deals with vectors,
matrics, finite or infinite dimensions as well as a linear
mapping between such spaces is defined as linear
algebra.

4. Applications of linear algebra
 Global postioning system(gps)
 Raking in search engins
 Decision tree inductions
 Testing software code in software engineering
 Grapics, facial recoginitions,predictions so on…..

5. GPS (global positioning system)
The Global Positioning System Is A Space- Based Satellite Navigation System
That Provides Location And Time Information In All Weather Conditions
working:
 a GPS system consist of transimitter (gps satellite) and receiver
 A GPS system uses four satellite at a time to find the location of any given
points.
 A GPS system uses a concept of TRILATERATION .
 Fourth satellite is used to increase the accuracy of position(so minimum three
satellite required to find the location of given point).

7. A Satellite to measure two things at a time
 Every satellite major the time taken to reach the electromagnetic signal
from it to the reciver.
 By multiplying with the speed of the electromagnetic waves we can
calucate the distance between the reciver(radius of the circle).

8. Solution using linear algebra…….