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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 2-vector $\displaystyle \textbf{u}=\left( \begin{array}{c} 2\\ 3 \end{array} \right)$ 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 three-dimensional space together as follow? Why? Or sketch them separately with $\displaystyle \textbf{u}$ on the two-dimensional space and $\displaystyle f(\textbf{u})$ on the three-dimensional 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. Tags geometric, matrix, representation, transformation Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Simon Charmers Calculus 1 October 17th, 2015 11:59 AM tomtong Algebra 0 June 10th, 2013 05:53 PM Robert Lownds Linear Algebra 2 April 15th, 2013 01:13 AM playthious Linear Algebra 1 March 22nd, 2012 12:26 PM aliya Linear Algebra 1 August 10th, 2010 12:39 PM

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