Solved

Linear Algebra: Should I multiply these two translation matrices together?

Posted on 2006-11-04
3
602 Views
Last Modified: 2009-07-29
If I have 2 translation matrices.

Matrix A: Translates 2 units up the Y axis.

Matrix B: Translates 3 units up the Y axis, and 2 units up the X axis.

If I multiple these two matrices together, will the resulting matrix translate 5 units up the Y axis, and 2 units up the X axis?

That is my goal, and apparently I'm just enough years beyond Linear algebra to remember.

Thanks!
0
Comment
Question by:oxygen_728
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
3 Comments
 
LVL 84

Accepted Solution

by:
ozo earned 250 total points
ID: 17875135
0
 
LVL 2

Assisted Solution

by:Ehsan_Noureddin
Ehsan_Noureddin earned 250 total points
ID: 17891202
Yes , Exactly ..
if you have a 3D vector for translating and rotating you must add one row to your matrix i will show you :


      | X |
V = | Y |
      | Z |
      | 1 |

Translatin Matrix for translating a,b,c is :

Trans = | 1 0 0 a |
            | 0 1 0 b |
            | 0 0 1 c |
            | 0 0 0 1 |

now if you Multiple your Vector to Trans Matrix the Result Matrix is  :

New V = | X+a  |
             | Y+b  |
             | Z+c  |
             | 1      |

Now you Can Remove the added Row ..
is it you answer ?


and for Trans 2 o 3 o more time you just need to translate the result again and again ..
0
 

Author Comment

by:oxygen_728
ID: 17901336
Thanks for the tips!
0

Featured Post

Free Tool: Port Scanner

Check which ports are open to the outside world. Helps make sure that your firewall rules are working as intended.

One of a set of tools we are providing to everyone as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Suggested Solutions

Title # Comments Views Activity
homophone word for ***archeries*** 5 91
How to onstruct a table 4 50
Standard Deviation 2 37
Inequality 4 92
Foreword (May 2015) This web page has appeared at Google.  It's definitely worth considering! https://www.google.com/about/careers/students/guide-to-technical-development.html How to Know You are Making a Difference at EE In August, 2013, one …
We are taking giant steps in technological advances in the field of wireless telephony. At just 10 years since the advent of smartphones, it is crucial to examine the benefits and disadvantages that have been report to us.
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.
I've attached the XLSM Excel spreadsheet I used in the video and also text files containing the macros used below. https://filedb.experts-exchange.com/incoming/2017/03_w12/1151775/Permutations.txt https://filedb.experts-exchange.com/incoming/201…

733 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question