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October 30th, 2016, 08:47 PM  #1 
Newbie Joined: Oct 2016 From: Singapore Posts: 11 Thanks: 0  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 ? Thanks in advance for your inputs. 
October 30th, 2016, 09:45 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,262 Thanks: 1198 
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, 06:41 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, 11:07 AM  #4  
Senior Member Joined: Sep 2015 From: USA Posts: 2,262 Thanks: 1198  Quote:
Answer 0 at projective geometry  Equation for nonorthogonal projection of a point onto two vectors representing the isometric axis?  Mathematics Stack Exchange details one way of going about that.  
October 31st, 2016, 10:07 PM  #5 
Newbie Joined: Oct 2016 From: Singapore Posts: 11 Thanks: 0 
Many thanks, romsek!


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