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

Table of contents

Preface

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.

Figures

  • 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.

Listings

  • 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.

Preview

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

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
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
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
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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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