Here's a simple question that I can't seem to get:(adsbygoogle = window.adsbygoogle || []).push({});

"Suppose for some v [tex]T^{m-1}v\neq 0[/tex] and [tex]T^mv=0[/tex]. Prove that [tex](v,Tv,...,T^{m-1}v)[/tex] is linearly independent."

I know that [tex]m\leq \dim V[/tex] and [tex]v,Tv,...,T^{m-1}v[/tex] are all nonzero.

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# Homework Help: Linear Independence

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