Question: Suppose that T: V > V is a linear transformation. 1. Prove that 3(v) = T(T(v)) is also a linear transformation. 2. Give an example

Suppose that T: V > V is a linear transformation. 1. Prove that 3(v) = T(T(v)) is also a linear transformation. 2. Give an example of a non-zero transformation T: R2 > R2 such that T(T(v)) : 0 for all v E R2. 3. If T(T(v)) : 0 for all v E V, what can you conclude about Image(T) and Ker(T)

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