I'm having trouble with finding the eigenvectors of a 3x3 matrix. The matrix M, is defined as the following:
0 0.3 0.4 0.6 0 0.6 0.4 0.7 0
Having found det(M - ÆI), where ÆI is matrix:
Æ 0 0 0 Æ 0 0 0 Æ
I have found the following eigenvalues:
I am now to find the corresponding eigenvectors, V1, V2, V3, but I can't seem to approach it the right way. I have the following system of equations:
For Æ1 = 1:
0.3y + 0.4z = x 0.6x + 0.6z = y 0.4x + 0.7y = z
And similarly for the remaining eigenvalues.
How do I go about finding the eigenvectors? ANY help is highly appreciated!