Question: For v * 0, define span(L, v) := span{L'(v) : i 6 No}. Here LO := Idv. (a) Prove that span(L, x) is an L-invariant

For v * 0, define span(L, v) := span{L'(v) : i

For v * 0, define span(L, v) := span{L'(v) : i 6 No}. Here LO := Idv. (a) Prove that span(L, x) is an L-invariant subspace of V. (b) Prove that there exists a largest integer k such that B := {v, L(v), ..., Lk-1(V) } is independent. Moreover, show that B is a basis for span(L, v)

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