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Learn how to display column matrices in a graphical format to make it easier to visualize them.

Table of contents


This module is one in a collection of modules designed for teaching GAME2302 Mathematical Applications for Game Development at Austin Community College in Austin, TX.

What you have learned

In the previous module, you learned:

  • How to compare column matrices for equality
  • How to compare two points for equality
  • How to compare two vectors for equality
  • How to add one column matrix to another
  • How to subtract one column matrix from another
  • How to get a displacement vector from one point to another.

What you will learn

In this module, you will learn how to display column matrices in a graphical format. This may help you to get a better grasp of the nature of column matricesand the results of adding, subtracting, and comparing them.

Viewing tip

I recommend that you open another copy of this module in a separate browser window and use the following links to easily find and view the Figuresand Listings while you are reading about them.


  • Figure 1 . Sample graphical program output.
  • Figure 2 . Text output from the program.
  • Figure 3 . Graphical output for equal vectors.
  • Figure 4 . Text output for equal vectors.
  • Figure 5 . Graphic output from Exercise 01.


  • Listing 1 . Beginning of the method named displayColumnMatrices.
  • Listing 2 . Use the slider values to create the two matrices.
  • Listing 3 . Add and subtract the matrices.
  • Listing 4 . Display text information about the matrices.
  • Listing 5 . Create mathematical points.
  • Listing 6 . Create mathematical displacement vectors.
  • Listing 7 . Produce a graphical representation of the displacement vectors.
  • Listing 8 . Source code for the program named ColMatrixVis01.


Abstract mathematical concepts are often easier to grasp if you can visualize them in graphical format. For example, the nature of the followingequation often becomes more apparent once you learn that it is the equation of a straight line.

y = m*x + b

Similarly, the nature of the following equation often becomes more apparent once you learn that it is the equation of a parabola and you learn the generalshape of a parabola.

y = x^2 + k

where x^2 indicates x raised to the second power.

As mentioned earlier, in this module, you will learn how to display column matrices in a graphical format. This may help you to get a better grasp of the nature of column matricesand the results of adding, subtracting, and comparing them.

I will present and explain an interactive program that behaves as follows:

Two column matrices are created using values obtained from the sliders shown at the bottom of Figure 1 . One matrix is named redMatrix and the other matrix is named greenMatrix .

Figure 1 Sample graphical program output.

Missing image.

Two additional column matrices are created by adding and subtracting the original matrices.The matrix created by adding the red and green matrices is named blueMatrix . The matrix created by subtracting the green matrix from the red matrix is named orangeMatrix .

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
Got questions? Join the online conversation and get instant answers!
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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