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October 30th, 2016, 07:47 PM   #1
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Question on eigenvector calculation

I have a question regarding one example of eigenvector calculation.

In Equation (1) of the attached example, should the first column of matrix A be written as 0.8x1 + 0.2x2 , rather than x1 + 0.2x2 ?

Attached Images example.JPG (79.9 KB, 6 views) October 30th, 2016, 08:45 PM #2 Senior Member   Joined: Sep 2015 From: USA Posts: 2,375 Thanks: 1276 no. $x_1 = (0.6, 0.4)$ $x_2 = (1,-1)$ $(0.8,0.2) = 1 \cdot(0.6,0.4) + 0.2 \cdot (1,-1)$ October 31st, 2016, 05:41 AM #3 Newbie   Joined: Oct 2016 From: Singapore Posts: 11 Thanks: 0 Hi romsek, thanks for the response. Could you explain where the factors of 1 and 0.2 came from? Thanks October 31st, 2016, 10:07 AM   #4
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Quote:
 Originally Posted by mikeraj Hi romsek, thanks for the response. Could you explain where the factors of 1 and 0.2 came from? Thanks
it's a matter of projecting the vector $(0.8,0.2)$ onto the two non-orthogonal unit eigenvectors.

Answer 0 at projective geometry - Equation for non-orthogonal projection of a point onto two vectors representing the isometric axis? - Mathematics Stack Exchange

details one way of going about that. October 31st, 2016, 09:07 PM #5 Newbie   Joined: Oct 2016 From: Singapore Posts: 11 Thanks: 0 Many thanks, romsek! Tags calculation, eigenvector, question 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 joskevermeulen Calculus 1 December 29th, 2015 05:02 AM gez Linear Algebra 0 April 9th, 2015 08:29 AM jones123 Calculus 2 May 30th, 2013 07:51 AM bd_8_bc1601 Elementary Math 2 August 15th, 2012 05:53 PM wannabe1 Linear Algebra 2 April 17th, 2010 02:32 PM

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