What do the components of eigenvector represent?
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When I use [V,D] = eig(A), V has 2 X 2 matrix. What do the components of V represent? V(1,1) represents the angle between x-axis and principal direction, and V(2,1) represents the angle between y-axis and principal direction?? I would appreciate any help. Thanks,
Jay
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Youssef Khmou
on 6 May 2014
Edited: Youssef Khmou
on 6 May 2014
N dimensional matrix is associated with N dimensional canonical base, in this case N=2, you have a plane (x,y), after eigendecomposition you have the diagonal matrix D which contains the spectra of the matrix A and the columns of V are the associated eigenvectors V(:,1)= V1 ex +V2 ey such as V(1,1) and V(2,1) are the x and y components of the first eigenvector .
V(1,1)= ||V1|| cos(theta)
V(2,1)= ||V1|| sin(theta)
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