- #1
Mitch_C
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Homework Statement
Let f:V[tex]\rightarrow[/tex] V be a linear map and let v[tex]\in[/tex]V be such that
f^n(v)[tex]\neq[/tex]0 and f^(n+1)(v)=0. Show that v,f(v),...,f^(n-1)(v) are linearly independent.
The Attempt at a Solution
I'm really stuck with this one. I know the definition of linear independence and I can see why this might be the case but I don't know how to go about showing this. If anyone could point me in the right direction I should be okay.
thanks