i have this matrix:(adsbygoogle = window.adsbygoogle || []).push({});

and i need to find the matrix jordan basis, and jordan form.Code (Text):

011

001

000

for the jordan bassis i need first to find the eigen value which is zero.

i also found that: Ker(A)={e_1} Ker(A^2)={e_1,e_2} Ker(A^3)=R^3

now Ae1=0, Ae2=e1, Ae3=e1+e2.

now the basis must include e2 and e1, cause we have a transformation from e_2 in Ker(A^2) to e_1 in ker(A), but we don't have a transformation from Ker(A^3) to Ker(A^2), Ae3 should be one of either e2 or e1, can someone help me on this?

thanks in advance.

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# Jordan Basis question.

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