when you compute eigenvalues, the part that you need to form a base . Does the order matter? because i mostly get contradictionary results like
a(1,0,-1) while in the textbook it says a(-1,01) because i extracted an other variable. Does this make a difference? because the next step is combining those bases to do a diagonalization

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The order of eigenvalues doesn't matter!! but the order of theirs eigenvectors is important!!

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