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I'm trying to find an eigenvector of a matrix. I know that λ = 1, so my matrix (A- λI) is

[tex][-0.5253, 0.8593, -0.1906; -0.8612, -0.5018, 0.1010; 0.1817, 0.1161, -0.0236][/tex]

And from rows 2 and 3 I get these simultaneous equations

[tex]-0.8612t_{1}-0.5018t_{2}+0.1010t_{3}=0[/tex]

[tex]0.1817t_{1}+0.1161t_{2}+0.0236t_{3}=0[/tex]

I eliminate to find [itex]t_{2} = -4.02t_{3} [/itex] and [itex]t_{1}=-2.23t_{3}[/itex]

Thus the eigenvector is

t=[itex]k [-2.23, -4.02, 1][/itex]

But using an online solver gives the eigenvector as (-0.016, 0.206, 0.978).

Thanks for any pointers.

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# Finding an eigenvector of 3x3 matrix

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