Let V, W, and Z be vector spaces, and let T: V-->V. Prove that T[T(v)]= 0 if and only if R(T) is a subset of N(T).
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Originally Posted by JCIR Let V, W, and Z be vector spaces, and let T: V-->V. Prove that T[T(v)]= 0 if and only if R(T) is a subset of N(T). Step 1: CLAIM: Proof: -------------------------------------------------------------------------------------------------------- Step 2: CLAIM: Proof:
Last edited by Isomorphism; Jul 14th 2008 at 12:54 AM.
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