linear algebra vector

1. Linear Algebra and Vector Analysis
Department of Computer Science and
Engineering (CSE)
Group -8

2. A Presentation On
MATHEMATICS SOLUTION USING C
PROGRAM

3. Introducing Group
Md. Anowar Hossen
213002189
Shawon Reza
213002135
Sajibul Islam
213002134
Kazi Nur Ali
213002130
Ryan Hasan Sunny
212002183
Mahmudul Hasan
213002198
Course teacher:
Jakia Sultana
Senior Lecturer Dept. of CSE
Green University of Bangladesh

4. Table of contents
Topic-5
Topic-6
Topic-1
Topic-3
Topic-2
Topic-4
Topic-7
Topic-
8
C Program
Polynomial Function
Encode Decode
Conclusions
History
Introduction
Relation between mathematics and C program
Gaussian Elimination

5. Introduction
In this presentation we will discuss about how we can solve linear
equation by computer programming language.

6. History
In 1844 Hermann Grassmann published his
"Theory of Extension" which included
foundational new topics of what is today called
linear algebra.
Vector calculus and its sub objective Vector
Fields was invented by two men J. Willard
Gibbs and Oliver Heaviside at the end of the
19th century.

7. Linear Algebra
The branch of mathematics that deals with vectors,
matrices, finite or infinite dimensions as well as a
linear mapping between such spaces is defined as
linear algebra.

8. Linear algebra can be categorized into three branches depending upon the level
of difficulty and the kind of topics that are encompassed within each.
These are :
1. elementary
2. advanced and
3. applied linear algebra.
Each branch covers different aspects of matrices, vectors, and linear functions.

9. Linear algebra and its
application
Linear algebra is used in almost every field. Simple algorithms also make
use of linear algebra topics such as matrices. Some of the applications of
linear algebra are given as follows:
• Signal processing
• Linear programming
• Computer Science
• Prediction Algorithms

10. Relation between mathematics
and PrograMmING LANGUAGE
What is the relationship between mathematics and
programming?
The answer to that “how?” is very simple: Coding.
Math and coding are deeply related, and when teaching our
students how to code, we are -at the same time- delivering
mathematical content, and a way of thinking that they can
use, later on, while calculating something specific in their
math class.

11. Problem 1:
Determine the coefficients of the given
polynomial:
P(x)=a0+a1x+a2x
2
Whose graph passes through the points
(1, 4), (4,11) and (6, last two digit of your
name(EX:
A=1)). Also plot the function using
MATLAB command (having proper title, x
and y axis
notation).

12. Last two digit of my name id = 18
So the polynomial graph passes through the point (1,4),(4,11),(6,18)
Polynomial equation P(x)=a0+a1x+a2x^2.
Substituting, x=1,4,6
P(1) = a0 + a1(1) + a2(1)2=a0+a1+2a2
P(4) = a0+a1(4) + a2(4)2=a0+4a1+16a2
P(6) = a0 + a1(6) + a2(6)2=a0+6a1+36a2

13. Here is the graph:

14. OUTPUT/RESULT
Final equation:0.23x^{2}+1.17x+2.60

15. Question--2
Using suitable
command encode
the message “Do
Yourself Perfectly”
by using matrix A
given below:
A = [1 2
1 3]

16. Code FOr Problem: 2

18. Question--3
The wonderland
Amusement Park’s main
attractions are the bumpy
car ride and the Ferris
wheel. A group took the
bumpy car ride at $10 per
child and $6 per adult for
a total of $90.
Then, they took the Ferris
wheel at $3 per child and
$5 per adult for a total of
$70. How many
children and adult were
there in the group?

19. Here is Code for Problem 3

20. Solution

21. Conclusions
By solving this type of math. Now, we will be
able to solve different types of mathematical
problem in computer programming language
and also implement in our real life.

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