
Linear Algebra Linear Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 8th, 2018, 03:28 AM  #1 
Newbie Joined: Jan 2014 Posts: 19 Thanks: 0  Geometric representation of matrix transformation
I want to sketch the 2vector $\displaystyle \textbf{u}=\left( \begin{array}{c} 2\\ 3 \end{array} \right)$ and its image under the matrix transformation $\displaystyle f: R^2\rightarrow R^3$ defined by $\displaystyle f(u)=\left( \begin{array}{cc} 1 & 0\\ 1 & 1\\ 0 & 1 \end{array} \right)\textbf{u}.$ Can I sketch both of $\displaystyle \textbf{u}$ and $\displaystyle f(\textbf{u})$ on the threedimensional space together as follow? Why? Or sketch them separately with $\displaystyle \textbf{u}$ on the twodimensional space and $\displaystyle f(\textbf{u})$ on the threedimensional space? Thank you. 
November 14th, 2018, 06:36 AM  #2 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,628 Thanks: 119 
You can sketch any plane, and the vectors in it, on a three dimensional space.


Tags 
geometric, matrix, representation, transformation 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
matrixvector representation for a system of ODE's  Simon Charmers  Calculus  1  October 17th, 2015 12:59 PM 
Getting Transformation Matrix  tomtong  Algebra  0  June 10th, 2013 06:53 PM 
Matrix representation  Robert Lownds  Linear Algebra  2  April 15th, 2013 02:13 AM 
Matrix Representation  playthious  Linear Algebra  1  March 22nd, 2012 01:26 PM 
Matrix Transformation  aliya  Linear Algebra  1  August 10th, 2010 01:39 PM 