Let L be a linear operator on a vector space V. Define Ln, n 1, recursively
Question:
L1 = L
Lk+ l(v) = L(Lk(V)) for all v ∈ V
Show that L" is a linear operator on V for each n > 1.
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The proof is by induction on n In the case n 1 L 1 is a linear operator sinc...View the full answer
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