1. PROJECT WORK ON MATH-
MATRICES
Name-Latiful Rahman
Class-BCA(B)
Session-2022-25
2. ACKNOWLEDGEMENT
I Latiful Rahman of BCA 2nd semester of section
A ,would like to thank Mrs.Nitu mam for giving
us such a wonderful opportunity to present our
research in matrices.
I also would like to thank our faculty member
for providing us perfect environment for us to
concentrate in our studies.
Last but not least I would like to thank my
parents and friends for helping me in
3. INTRODUCTION TO MATRICES
A rectangular array of M x N number in the form of m horizontal
line(rows)and n vertical line(columns) is called matrix of order M
by N.
Example of a matrix of order M by N where M=2,N=2.
columns
rows 1 2
3 4
This is an example of 2by2 matrix.
4. REAL LIFE APPLICATION OF
MATRICES
Matrices are used more in daily life than people would have thought.
In fact is in front of us every day when going to work , at the
university and even at home.
Graphic software such adobe photoshop on your personal desktop
uses matrices to process linear transformation of render images. A
square matrix can represent a linear transformation of geometric
object.
For example, in the Cartesian X-Y plane, the matrix 0 -1 reflects an object
in the vertical Y axis. In a video game, this would render 0 1 the
upside-down mirror image of an assassin reflected in a pond of blood. If the
video game has curved reflecting surfaces, such as a shiny metal shield, the
matrix would be more complicated, to stretch or shrink the reflection.
5. REAL LIFE APPLICATION OF
MATRICES
In physics related applications, matrices are used in the study of electrical circuits,
quantum mechanics and optics. Engineers use matrices to model physical systems
and perform accurate calculations needed for complex mechanics to work.
Electronics networks, airplane and spacecraft, and in chemical engineering all require
perfectly calibrated computations which are obtained from matrix transformations. In
hospitals, medical imaging, CAT scans and MRI’s, use matrices to operate.
Whereas in programming which is taught at the university, matrices and inverse
matrices are used for coding and encrypting messages. A message is made as a
sequence of numbers in a binary format for communication and it follows code theory
for solving.
In robotics and automation, matrices are the basic components for the robot
movements. The inputs for controlling robots are obtained based on the calculations
from matrices and these are very accurate movements.
6. REAL LIFE APPLICATION OF
MATRICES
Many IT companies also use matrices as data structures to track user
information, perform search queries, and manage databases. In the world of
information security, many systems are designed to work with matrices.
Matrices are used in the compression of electronic information, for example in
the storage of biometric data in the new Identity Card in Mauritius.
In geology, matrices are used for making seismic surveys. They are used for
plotting graphs, statistics and also to do scientific studies and research in
almost different fields. Matrices are also used in representing the real world
data’s like the population of people, infant mortality rate, etc. They are best
representation methods for plotting surveys. In economics very large matrices
are used for optimization of problems, for example in making the best use of
assets, whether labour or capital, in the manufacturing of a product and
managing very large supply chains.
7. CONCLUSION
From this ppt we learned different types of matrices such as :
unit
null
row
column
diagonal
square
comparable
Equable
Real life application of matrices.
