revising for a text and got stuck mid way through a question(adsbygoogle = window.adsbygoogle || []).push({});

Find the eigenvalues and vectors of A (in matrix form i will state colum then column then column) A((3,0,0),(0,2,0),(0,0,2) B=((3,0,0),(0,2,1),(0,0,2)

for A i got x(lamda)=(lamda-3)(lamda-2)^2 lamda=2or3

then i got lamda=3 solved to get a non zero multiple of (1,0,0)

its the second bit that im stuck on my notes tell me that lamda=2 gives eigenvectors (a,a,b) where a and b are any reals, i dont get why this is a,a,b) and not (a,b,b,) usualy i would just think this is a mistake in my copying down but i remember the teacher explaining why it was 11b and not abb just cant remember why, if someone could shed some light this would be much apprichiated, thanks

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# Eigenvectors question

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