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November 8th, 2018, 02:28 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, 05:36 AM  #2 
Banned Camp Joined: Mar 2015 From: New Jersey Posts: 1,720 Thanks: 126 
You can sketch any plane, and the vectors in it, on a three dimensional space.


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geometric, matrix, representation, transformation 
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