Let V and W be vector spaces, and let T and U be nonzero linear transformations from V into W. If R(T) n R(U) = {0}, pro

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Let V And W Be Vector Spaces And Let T And U Be Nonzero Linear Transformations From V Into W If R T N R U 0 Pro 1 (15.77 KiB) Viewed 40 times

Let V and W be vector spaces, and let T and U be nonzero linear transformations from V into W. If R(T) n R(U) = {0}, prove that {T, U} is a linearly independent subset of L(V, W).