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6 SupposeW is finite - dimensional and T 1 , T 2 2 L ( V;W ) . Prove that null T 1 null T

6 SupposeW is finite-dimensional and T1, T22L(V;W). Prove that null T1 null T2 if and
only if there exists S 2 L(W;W) such that T2= ST1.

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