Munchy Burger

SQQM2023 |  LINEAR ALGEBRA |  GROUP C | A212

MUNCHY
BURGER

THE SECRET BEAUTY OF SYSTEM OF LINEAR EQUATION

Submitted to: Prepared by Group 6:

Prof. Dr. Haslinda Bt Ibrahim Ang Jia Wei (269580)
Cheng Yew Hong (269956)
Submission date: Agnes Tang San San (270865)
Cut Handayani (282742)
26 June 2022
Source: Canva

GROUP 6

LIST OF MEMBERS

ANG JIA WEI 269580
TASK:EQUATION CREATOR &

EQUATION SOLVER

CHENG YEW HONG 269956
TASK: MAGAZINE DESIGNER

AGNES TANG SAN SAN 270865
TASK: SCENARIO MAKER,

EQUATION CREATOR &
MAGAZINE DESIGNER HELPER

CUT HANDAYANI 282742
TASK: INFORMATION PROVIDER &

SCENARIO MAKER

Source: Canva

CONTENTS

01/ BACKGROUND OF UUM

02/ BACKGROUND OF ECC

03/ CLUB MEETING

05/ BACKGROUND OF
FOOD FESTIVAL BY
ECC

06/ PREPARATION FOR
BURGER STALL

09/ CONFLICT AROSE

14/ EXPLANATION OF
SYSTEM OF LINEAR
EQUATIONS

16/ PROBLEM SOLVING

24/ CONCLUSION 

26/ REFERENCES

27/ APPENDIX

30/ REFLECTION

Source: Canva

BACKGROUND (BERNAMA, 2020)
OF UUM 01

University Utara Malaysia (UUM) is the
sixth public university which was built on
16 February 1998 and started centralized on
23 April 1998. The main purpose of the
establishment of this university is to
educate and produce professional students
in the field of management in both the
local and international markets. Sintok is
a tiny village along the North-South
Highway where UUM is located. Originally,
this location was a tin mine area
surrounded by a natural environment,
therefore there is a river that runs
through the campus, the Sintok river,
allowing the school to maintain a peaceful
and calm atmosphere. On February 17, 2004,
His Majesty the Royal Chancellor of UUM
declared the campus, which spans 1,061
hectares, fully open.

UUM underwent a substantial and
historic turnaround plan in January 2008.
The UUM College of Arts and Sciences (UUM
CAS), the UUM College of Business (UUM
COB), and the UUM College of Law,
Government, and International Studies (UUM
COLGIS) were formed from 13 faculties that
were simplified and reformed into three
primary colleges. Under each of these
faculties there are also several schools
consisting of several majors as well. In
addition, there are also several
organizational clubs established among
students. One of them is the
Entrepreneurship Club.

(Subscription, 2010)

BACKGROUND OF
ENTREPRENEUR

CORPORATE CLUB

SBM UUM

Entrepreneurship Corporate Club (ECC) is an Source: Canva
organization under the Department of 02
Entrepreneurship, School of Business Management
(SBM), UUM. This organization was first established
in 2013 which was initially just a basic
organization that has not stood alone under its
department, but still under the school that is SBM.
Until the beginning of 2015, there were many
organizations established under SBM until some
clubs began to be divided under their respective
departments.

Once the Entrepreneurship Corporate Club (ECC)
had come under its own entrepreneurial department,
we began to form a new management body led by
Bryan, as well as a new work program as well. If
previously our work program was very limited as we
still share work programs with several other
organizations under SBM, however now we are able to
run a wider and many more work programs either in
the short or long term. Of course, we have a big
program that will run every year. We will also hold
regular meetings to discuss our work programs and
conduct evaluations.

CLUB MEETING

Source: Canva

In early April, the ECC held a meeting to discuss the work
program they needed to run next. The meeting was chaired by Bryan
as the club leader and attended by the entire club manager. After
evaluating their entire work program, Bryan concluded that they
needed to run their largest work program in the near future.
Therefore, Bryan invites his members to exchange ideas to discuss
what they need to do for the program to be implemented.

03

MEETING RESULT

BY ECC

After brainstorming between Bryan and
his members, they decided to run their
biggest program into a festival. Some
festivals are usually held every year, but
this year ECC will hold a Food Festival.
Bryan gave the opinion that it would be
great if the ECC had a representative to
take part in the festival, not just as a
program manager. Therefore, Bryan gave an
opinion for them to be one of the traders
at the festival later because it really
describes their club's identity as
entrepreneurs. After a fairly long
discussion, they unanimously agreed to open
a burger stall at the upcoming Food
Festival by ECC.

04
Source: Canva

Source: Canva

BACKGROUND Food Festival is a program where
OF FOOD there are several bazaars or stalls
FESTIVAL BY selling a variety of food and beverage
ECC both local and international.

The Food Festival is one of the ECC will open a total of 50 stalls to
festival programs under the be offered to students or staff of UUM
management of ECC. The festival is to participate in this program. Bryan,
ECC’s largest work program that is as the chairman, wanted to give a new
always held annually. However, this color to the festival later, so he
year ECC wants to make a difference proposed an idea where there is famous
to their festival program with the food from various countries so that
aim of wanting to portray their everyone present at this Food Festival
identity as an entrepreneur and also can feel like visiting World Street
want to open opportunities for all Food. ECC will make this festival an
UUM students to become an annual mandatory program if it gets a
entrepreneur as well. This Food lot of response. To make this program
Festival will lasted for 7 days. a success, Bryan has formed a
dedicated management body to monitor
the program which is the business of
burger stall running smoothly and
successfully.

05

POSITION WITH DESC

01 B R Y A N L A U W E I
XIANG

Leader of Entrepreneurship
Corporate Club (ECC) and Food
Festival Program, which is
responsible for the entire
program and ensures that
everything runs smoothly.

02 A N G J I A W E I

Source: Canva Treasurer of Food Festival
Program, which is responsible
for the total expenses required
in the preparation of
ingredients, total production,
total income and net income.

03 A G N E S T A N G S A N
SAN

Source: Canva Manager of Stocking
Ingredients, responsible in
ensuring the entire stock of
ingredients needed is always
sufficient.

04 C H E N G Y E W H O N G

Deputy Manager of Stocking
Ingredients, responsible in
buying the necessary
ingredients.

05 C U T H A N D A Y A N I

Source: Canva Members of Stocking
Ingredients, responsible in
buying the necessary
ingredients.

06

PREPARATION Source: Canva

INGREDIENTS Source: Canva
AND OTHER
THINGS Source: Canva
NEEDED 07

The organizers of the program
offered us a capital saving
package as almost all preparations
to open the stall have been
prepared. Among them are cooking
utensils, cooking stoves, lamps,
and so on. The organizing club
simply asked us to provide the raw
materials or ingredients needed to
produce the burgers. The
ingredients are:

Burger Bun
Margarine
Mayonnaise
Chili Sauce
Eggs
Beef and Chicken Slice
Pepper Powder

Source: Canva

Source: Canva Source: Canva

INGREDIENTS

WHO ARE RESPONSIBLE TO BUY INGREDIENTS AND WHY

Agnes are responsible to buy the burger bun
and egg. Because she as the manager is
responsible for providing these two main
materials, both of which of course require a lot
of stock.

Meanwhile, Cheng are responsible to buy the Source: Canva
beef and chicken slice, because as the deputy
manager, Cheng has to make sure that the material
which is also the main material needed and of
course uses a lot of stock.

Yani are responsible to buy the pepper Source: Canva
powder, margarine, mayonnaise, and chili sauce, 08
because these materials are by-products that are
needed and easier to manage by Yani as members.

EARLY
ONSET
PROBLEM

Agnes, Cheng, and Yani as responsible
for preparing the necessary

ingredients, they use their money in
advance to buy everything needed.

However, they did not receive their
money back from Jia Wei as a
treasurer.

09
Source: Canva

CONFLICT

STORY LINE Source: Canva

When they arrived on the last

day, the seventh day, Agnes, Cheng,

and Yani wanted to ask for their money

During the seven business days, back from Jia Wei. However, Jia Wei

the management of the burger stall said that he did not receive any

business has agreed that in meeting receipts from the three of them at

the needs of ingredients, three all. Because of this, he could not

people, namely Agnes, Cheng, and Yani give them their money. The three

who are responsible must use their brands are very upset with Jia Wei

money first in buying all the because they are convinced that they

ingredients and they must give all have already submitted all their

receipts to Jia Wei as treasurer, expense receipts. Jia Wei still did

with the aim that when Jia Wei has not want to give the three of them

calculated all the total expenses and money because he said they did not

profits earned, he will give back the have any proof of how much money they

money Agnes, Cheng, and Yani used. had spent due to the lost receipt.

10

Source: Canva THE MEMBERS
COMPLAIN
Agnes, Cheng, and Yani are TO THE
dissatisfied and feel the LEADER
situation is very unfair.
Because of this, they Source: Canva
complained to their boss,

Bryan. Bryan tries to deal with
the problem fairly and wisely.
He asked Jia Wei to show him
the financial record book with
the intention that he would
like to see any records that

Jia Wei had recorded that could
be used in solving the problem.

Bryan found out that Jia Wei
had recorded the total cost of

expenses for all ingredients
per day. Bryan felt that the
note could help them solve the
problem they were facing. Thus,
he instructs Jia Wei to use the
note and discuss with Agnes,

Cheng, and Yani to find the
solution.

11

DISCUSSION AMONG
TREASURER AND
MEMBERS

Source: Canva

Jia Wei showed a financial record book and in which there was a
record of the total cost of spending ingredients per day. Jia Wei
asked the three of them to prove to him how much their total money
had been spent on giving them all the ingredients. If they manage to

prove it, then Jia Wei will give back their money.

12

Source: Canva

DISCUMSSEMIOBNERASMONG
HOW TO PROVE

Agnes: Don't worry guys, we can Yani: But how do we find out how

solve this problem by see the much quantity we use when all the

price of each ingredient we buy receipts have been lost?

on all the websites we visit.

Yani: But, that way, we can only Cheng: We can solve this problem
by using the System of Linear

know the price per unit. Equations following the

Meanwhile, we also need to know appropriate steps and methods. We

the total cost used for each have identified our problem, now
ingredient during these seven we need to create the equations

days, so we can get back our and solve it.

money.

Agnes: We can find out the Yani: Can you explain to us what
is the system of linear

quantity used for seven days for equations?

each ingredient, so we can relate

it to the price per unit we have Cheng: Sure
earned and finally get the total

cost used for each ingredient.

13

SYSTEM OF
LINEAR

EQUATIONS

WHAT IS A SYSTEM OF
LINEAR EQUATIONS?

A system linear equation can be described as where there are similar
variables in the set of linear equations. Also can be described for
the variables involved, a linear equation with a rank of one is used.

That is, every undetermined variables in a linear equation are
reached to the rank of one.



A set of linear equations way to solve is a group of values which,
when substituted for the system's selected variables, results in each

equation being true (Scholars, 2021). If we notice, in fact the
linear system of equations is not just a mathematical theory that
needs to be thought too complicated so that we do not feel close to

it.

REAL LIFE

This system of linear equations is actually very close to the events
in our lives, for which there are many problems or things that can be

solved by means of this system of linear equations.

14
Source: Canva

HOW SYSTEM 3. RESOLVE THE EQUATION
OF LINEAR
EQUATION The system of linear equations
RELATED TO can be solved in three ways :
REAL LIFE?
Gaussian and Gauss-Jordan
Elimination with Row Echelon
Form (REF) and Reduce Row
Echelon Form (RREF) method.
Cramer’s Rule
Inverse Method

4. ANALYZE THE ANSWER

Try to reconnect the answer
obtained with the situation
being studied, and make sure it
is true.

Source: Canva A system of linear equations
can also solve an estimation
1.REVIEWED THE PROBLEM situation in real life problem.
STATEMENTS

In any case, especially to solve a ESTIMATION
question in a situation, it is
very important to first understand Estimation (or estimating) is
the situation being studied the method of deciding a number
thoroughly. As an example, what that can be used for a specific
kind of real life example of a purpose despite the fact that
linear function it is, and what is the input data may be
to be discovered. incomplete, imprecise, or
unstable. Despite this, the
2. MAKE YOUR EQUATIONS number is usable because it is
based on the most up-to-date
Make equations to connect information available. The
unknown and known values. To example situation such as can
determine the suitable equation estimate the quantity used in
that will lead to the greatest an expense.
result, we can use some of the
well-known formulae. 15

BARMAOINNGSTMOERMMBIENRGS

After the members decide to use AGNES
system of linear equation to draw
their conclusions and use as responsible in purchasing burger
evidence, the question now was how buns and eggs.
to implement it. First thing first
is trying to remember who bought Day 1 – Giant Supermarket
those ingredients on which day and Day 2 – Giant Supermarket
where. After recalling the day and Day 3 – Lotus’s Supermarket
place, they can finally search Day 4 – Lotus’s Supermarket
from the Internet for the prices Day 5 – Lotus’s Supermarket
of ingredients in that supermarket Day 6 – Lotus’s Supermarket
by location. Day 7 – Lotus’s Supermarket

Source: Canva YANI

responsible in purchasing
margarine, mayonnaise, chili sauce,
and pepper powder.

Day 1 – Aeon Supermarket
Day 2 – Aeon Supermarket
Day 3 – Everrise Supermarket
Day 4 – Lotus’s Supermarket
Day 5 – Giant Supermarket
Day 6 – Giant Supermarket
Day 7 – Giant Supermarket

Source: Canva CHENG
Source: Canva
responsible in purchasing beef and
chicken slides.

Day 1 – Everrise Supermarket
Day 3 – Giant Supermarket
Day 5 – Giant Supermarket
Day 6 – Giant Supermarket
Day 7 – Giant Supermarket

16

EQUATION

Source: Canva The members remembered the day,
where and what they bought, but they
couldn't remember how much of each
ingredient they bought. At the same
time, the total cost recorded by the
treasurer is used. So, this is the
equation for them to solve for the
quantity of each ingredient they buy
each day.

(Happy Corporate, n.d.)

Note:
Value before the unknowns will be the price per
unit for ingredient of burger. All the price for
each ingredient is referring to Happy Fresh
Website from different supermarket based on the
information given by Agnes, Yani and Cheng.

Source: Canva
17

We can use the inverse method by reducing the INVERSE
augmented matrix by using ERO and let the left part METHOD
become the identity matrix. In this technique, the
basic mathematical operations are used to equalize
both sides of the linear equation, causing the
variable to show on one side and its corresponding
quantity to show on the other. (Solving Linear
Equations in One Variable by Inverse Operations,
n.d.)


A= 4
.7 7
.6 9
.7 4
.8
15 2
1.4
6


4
.7 7
.6 9
.7
0
0
0
0


4
.6
0
0 4
.3 1
2.9 1
2.8
0


4
.6 6
.3
0
0
0
0 6
.8


4
.6 6
.15 5
.4
0 1
2.9 1
2.8
0


4
.6
0
0 3
.4 1
2.9 1
2.8
0


4
.6
0 5
.4 3
.4
0 1
2.8 1
0.2

b= 374.7 x
= x
1
85.1
x
2
211.2
x
3
48.7

x4


x5
242.65
x
6
209.4

x7
189.6

18
Source: Canva

SOLUTION
INVERSE METHOD








A^-1 -0.20049
0.0619 0.357863 0.023803 0.146877 -0.27162 0.102064








-0.27335 -0.20569 2.45646 0.032453 0.721339 -2.85996 0.139156








0.31131 0.234262 -2.09805 -0.03696 -0.63634 2.372398 -0.15848








9.25E-17 3.24E-16 1.111111 9.25E-17 -9.3E-16 -1.11111 0








0.437793 0.215636 -2.86917 0.064301 -0.87336 3.310983 -0.30039








-0.36916 -0.23957 2.467836 -0.07336 0.827399 -2.86597 0.266061








0.388869 0.148695 -2.51792 0.10089 -0.76766 2.833406 -0.19797

Ax=b
x=A-1b

Answer:
x1= 5
x2= 3
x3= 4
x4= 2
x5= 4
x6= 10
x7= 1

Source: Canva

19

(Cramer's Rule - Matrix, n.d.)

CRAMER'S RULE

Cramer's rule is a way of employing determinants in able to fix a linear
equations. It provides the answer with condition the determinant of the square
coefficient matrix and the matrices constructed by replacing a column also with
column vector of the calculations' rear sides (Cramer's Rule - Matrix, n.d.)

Dx1/D, Dx2/D, Dx3/D,...










D= 4.7 7.6 9.7 4.8 15 21.4 6










4.7 7.6 9.7 0 0 0 0










4.6 0 0 4.3 12.9 12.8 0










4.6 6.3 0 0 0 0 6.8










4.6 6.15 5.4 0 12.9 12.8 0










4.6 0 0 3.4 12.9 12.8 0










4.6 0 5.4 3.4 0 12.8 10.2

Determinent D: 93827.74

20

CRAMER'S RULE

SOLUTION










Dx1= 374.7 7.6 9.7 4.8 15 21.4 6










85.1 7.6 9.7 0000









4.3 12.9 12.8 0

211.2 0 0









0 0 0 6.8

48.7 6.3 0










242.65 6.15 5.4 0 12.9 12.8 0









3.4 12.9 12.8 0

209.4 0 0









3.4 0 12.8 10.2

189.6 0 5.4

Determinent Dx1: 469138.7

By replacing each column with answer given:

x1 = 469138.7/93827.74 x5 = 375311/93827.74

=5 =4

x2 = 281486.2/93827.74 x6 = 938277.4/93827.74

=3 = 10
x3 = 375311/93827.74 x7 = 93827.74/93827.74

=4 =1

x4 = 187655.5/93827.74

=2

NOMADIC  |  24

21
Source: Canva

REF Gaussian and Gauss-Jordan are two different types of Gaussian. Row
echelon and reduced row echelon are methods for converting a
matrix to that two methods. (org, 2018) The main following three
requirements define REF, but all four define reduced row echelon
form (RREF):










1. The matrix's bottom
A= 4.7 7.6 9.7 4.8 15 21.4
6 374.7 row contains all zero




000 rows.









2. When the pivoting is

4.7 7.6 9.7 4.3 12.9 12.8 0 85.1 determined with the









first input that isn't
000 0 211.2

4.6 0 0 zero in a row,




0 12.9 12.8 followed by the









pivoting through each
3.4 12.9 12.8 6.8 48.7 subsequent row is at

4.6 6.3 0




3.4 0 12.8 least one column the








preceding row should

4.6 6.15 5.4 4.8 15 0 242.65 be to the correct
side.






3.The pivot is one

4.6 0 0 0 209.4
inside any real number





4.6 0 5.4 row.






4. There are zero number
4.7 7.6 9.7 10.2 189.6 inside the up and

lower a pivoting.






21.4 6 374.7










0 -1.1383 -9.49362 -4.69787 -14.6809 -20.9447 0.92766 -318.028










0 0 52.54318 30.30075 94.15234 128.72 -11.9342 1922.649











0 0 0 -4.8 -15 -21.4 -6 -289.6










0 0 0 0 12.96804 13.60643 -1.391 186.5455










0 0 0 0 0 1.061545 1.426679 12.04213










0 0 0 0 0 0 -5.05135 -5.05135

22

SOLUTION

REF

Backward Subsitution
-5.05135x7 = -5.05135
x7= -5.05135/ -5.05135
x7=1

Thus, answer for each unknown:
X7=1
x6=10
x5=4
x4=2
x3=4
x2=3
x1=5

Source: Canva
Source: Canva

23

CONCLUSION

(1/2)

As a conclusion, by using the three steps to solve the system linear
equations which are, inverse method, cramer's rule, and gaussian method
we still got the same answer. After knowing the total quantity purchased
for each ingredient, so that we can identify how much total money each of

us use in buying the necessary ingredients.



We found that Agnes bought 5 packs of burger bread per day for RM 4.70 on
the first and second day from Giant, and for RM 4.60 on the third to

seventh day from Lotus’s. So Agnes spent RM 138.50 for a burger bread for
7 days. Agnes also bought 4 units of eggs and spent RM15 for eggs at

Giant on the first day, and RM 12.9 at Lotus's on the third, fifth, and
sixth days. Therefore, the total money spent by Agnes for eggs is RM

214.8 for the 4 days. As a result, the total money that Jia Wei needs to
return to Agnes is RM 353.30.



Cheng bought 10 packs of chicken and beef slices on the first day at
Everrise Supermarket for RM 21.40. And he bought at Giant on the third,

fifth, sixth, and seventh days for RM 12.80.Therefore, Cheng's total
expenditure for 5 days is RM 726. The ingredient bought by Cheng is the

ingredient that requires the most stock, therefore the total cost
incurred is also very high.

Source: Canva

24

CONCLUSION

(2/2)

Yani bought 3 margarines on the first and second day at Aeon at RM 7.60
per unit, at Lotus's on the fourth day at RM 6.30, and at Giant on the
fifth day at RM 6.15. Therefore, the total expenditure for margarine is

RM 82.95 for four days. As for mayonnaise, yani has bought 4 pieces,
namely at a price of RM 9.70 at Aeon on the first and second day, and at

a price of RM 5.40 at Giant on the fifth and seventh day. Therefore,
Yani's total expenditure for mayonnaise is RM 120.80. As for the chilli
sauce, Yani bought 2 pieces for RM 4.80 at Aeon on the first day, RM 4.30

at Everrise Supermarket on the third day, and RM 3.40 at Giant on the
sixth and seventh day. So, the total expenditure for chili sauce is RM
31.80 for four days. As for pepper powder, Yani only bought one for RM 6
on the first day at Aeon, RM 6.80 on the fourth day at Lotus's, and RM
10.20 on the seventh day at Giant. Therefore, the total expenditure for

pepper powder is RM 23. Therefore, the total money that needs to be
returned by Jia Wei to Yani is RM 258.55



System of linear equations proved to be applicable or can help in
solving problems in real life by finding out the unknown value of the

current situation such as the current situation that is estimation.

Source: Canva

25

REFERENCES

7.8: Solving Systems with Inverses. Mathematics LibreTexts. (2022).
Retrieved 16 June 2022, from
https://math.libretexts.org/Bookshelves/Algebra/Map%3A_College_Algebra_(O
penStax)/07%3A_Systems_of_Equations_and_Inequalities/708%3A_Solving_Syste
ms_with_Inverses.

APMonitor.com. (2017, January 4). Matrix Math (MMULT, MINVERSE) in
Microsoft Excel [Video]. YouTube. https://www.youtube.com/watch?
v=wbDfPIpTf4E

BERNAMA. (2020, September 4). UUM rise in global rankings. The Malaysian
Reserve. Retrieved 16 June 2022, from
https://themalaysianreserve.com/2020/09/04/uum-rises-in-global-rankings/

Blog, B. (2022, April 18). Linear Functions in Real-life Examples of
Linear Systems. BYJU'S FutureSchool. Retrieved June 12, 2022, from
https://www.byjusfutureschool.com/blog/linear-functions-in-real-life/

Cramer's rule - matrix. (n.d.). Math.net. Retrieved June 12, 2022, from
https://www.math.net/cramers-rule

Crow, S. (2017, April 9). Cramer's Rule Using Excel To Solve System of
Equations [Video]. YouTube. https://www.youtube.com/watch?v=yTYObct_88E

Entrepreneur Corporate Club - ECC SBM UUM. (2017, May 10). Retrieved June
17, 2022, from https://www.facebook.com/UUMecc/

Happy Corporate. (n.d.) Shop from your favorite stores online. Happy
Fresh. Retrieved June 10, 2022, from https://www.happyfresh.my/?
pid=branch_banner&c=exit_banner_first_page&af_adset=MY&af_ad=direct&af_su
b2=Search&af_sub3=search?
pid=branch_banner&c=exit_banner_first_page&af_adset=MY&af_ad=direct&af_su
b2=Search&af_sub3=search

Numerical Algorithms for Engineers. (2020, September 27). Gaussian
Elimination 2- How to do it with Microsoft® Excel® [Video]. YouTube.
https://www.youtube.com/watch?v=xIrzMMLD0a0

Org, f. (2018, 7 6). Gaussian and Gauss-Jordan Elimination | Introduction
to Linear Algebra | FreeText Library. freetext.org. Retrieved June 12,
2022, from
https://www.freetext.org/Introduction_to_Linear_Algebra/Systems_Linear_Eq
uations/Gaussian_and_Gauss-Jordan_Elimination/

Scholars, W. (2021, November 27). System of Linear Equations: Definition
& Examples - Video & Lesson Transcript. Study.com. Retrieved June 12,
2022, from https://study.com/academy/lesson/system-of-linear-equations-
definition-examples.html

Solving Linear Equations in one Variable by Inverse Operations. (n.d.).
Math Doubts. Retrieved June 12, 2022, from
https://www.mathdoubts.com/solving-linear-equations-in-one-variable-by-
inverse-operations/

Travelnbeauty. (2021). Retrieved June 17, 2022, from
https://travelnbeauty.com/uum/

26

Source: Canva

APPENDIX

Inverse Method

Cramer's Rule

27

Source: Excel Output

APPENDIX

Gaussian (REF)

28

Source: Excel Output

APPENDIX

29

Source: Excel Output

REFLECTION
Part 1
First, I would like to thank Prof Dr Haslinda Ibrahim for giving us

the opportunity to experience this project. This project is not easy to
complete as we need to figure out a scenario with equation and solve the
equation to get the answer that we need. Throughout this project work, I
need to done more research about the scenario and system of linear
equation. This is the hardest part as we need to come out equation which
when we solve will give us logic answer. We can’t simple create few
equations that results are unlogic in the real world.

The most challenging part for me is I need to research the way to
use Excel in solving the system of linear equation. As our group decided
to use 3 different way in solving the system of linear equation with is
inverse method, Cramer’s rule and Gaussian Elimination (REF) to see
different method product same results that we need. This part is
challenge for me as I was responsible to solve it using Excel. However,
by solving system of linear equation using Excel, it actually opens my
mind and improve my skills in using Excel. I very happy to incorporate
what I have learned in Linear Algebra into this project work.

Finally, I very happy that we able to come out with a scenario with
logical equation and answer after encounter several challenge. This
project definitely push my knowledge about the system of linear equation
in solving real life problems.

- Ang Jia Wei_269580

First of all, I want to express my gratitude to my professor, Prof. Dr.
Haslinda Ibrahim for devising the amazing idea of connecting the topic to
this assignment and making it more clear through this project. When I
initially started learning linear equation, I was a little stumped when it
came to answering the question since I wasn't sure what the conclusion of
this subtopic would be. To be honest, studying Linear Algebra is difficult
for me. However, after conducting extensive research and study on several
subtopics in order to complete this job successfully, I discovered that I am
capable of doing so.

Through this project, I will have a better understanding of linear
algebra and develop my ability to study and conduct research efficiently.
This project taught me that it is critical to have a creative mind in order
to utilise knowledge of linear equation in real life. Then, I discovered a
variety of instances that connect to what we've learned. I believe that it
can help us improve our problem-solving and social abilities more readily.

Additionally, I want to thank my colleague Agnes, Bryan, and Yani for
their hard effort in assisting me in completing this assignment. Moreover,
this project taught me how to be a creative learner when it comes to unknown
and linear equation. Furthermore, I may broaden my understanding by visiting
a number of websites dedicated to this subject.

Once again, I would want to say "Thank you so much" to my kind and
beloved professor, Prof Dr. Haslinda Ibrahim, who has always been there to
help us through the project. All in all, I enjoyed working on this project
since it made us to be creative with everything we were doing in order to
achieve the greatest result.

- Cheng Yew Hong_269956

30

REFLECTION
Part 2

In this group project, we need to use our logical thinking to solve

real-world problems by using system of linear equation and design an eye-

catching magazine. Before we started this project, we had several

brainstorming group discussions to reach a unified idea or direction. After

some research, discussions, and changes, we finally decided to use the burger

stall as the basis for the story. Thereby envisioning interesting and logical

story lines and problems encountered, and using what we have learned about

system of linear equation to solve the problem faced.




My favorite part about this group project is that it requires us to

fully understand what we have learned and apply it to a very interesting and

engaging storyline. I very much agree with Professor Dr. Haslinda Bt Ibrahim

that mathematics is not memorized but needs to be fully understood. The best

way is to apply it in our life. Mathematics exists to enrich our lives, not

just only book knowledge. Through this group project, we can bring

mathematics closer to our lives in a more positive and joyful manner. Of

course, let me, who is full of strange ideas, have a pipeline to release.




At the same time, I think the hardest part is getting the idea that


comes out which can perfectly integrate with the system of linear equations.


System of linear equations could be hard and easy for me. The moment is very


smooth and happy when we come up with ideas. However, when we were about to


implement the idea (create the equation and its solution), it didn't go so


well. We had a lot of problems, like not being able to create reasonable

equations, having trouble to create the equations that have a solution, or

getting negative numbers for the answer. To make everything more rational, we

had to revise our storyline repeatedly to come up with a more feasible

equation.

I am very pleased that, through the tireless efforts of our group, we
have finally reached a unified consensus. We succeeded in designing our own
interesting story line and incorporating elements of system of linear
equations. I can't say our story is the most fascinating, but it's definitely
possible in our lives or even experienced. Through this group project, we
will use mathematics more confidently in our future to keep the bad guys
speechless. Mathematics will be our evidence and even our weapon. I hope that
in the future, I can apply what I have learned in mathematics to my life.

- Angnes Tang San San_270865

Through this project, I can learn that mathematics can be applied in
real life and not just theory. Before this I only thought that the system
of linear equations is just a theory to be studied, but through this
project I and the team can apply it through a story that we created. This
project is very interesting in my opinion, because we can be creative in a
mathematical way. This project also trained me to think critically when
looking to get ideas in creating a logical scenario. Therefore, I would
like to thank our lecturer, Prof Dr Haslinda Ibrahim for helping us a lot
throughout the process of this project and giving us a lot of guidance.

- Cut Handayani_282742

That’s all from Group 6. Thank you for reading. 31

Eating

IS A NECESSITY, BUT

Cooking

IS AN ART.

BY GROUP 6

Source: Canva