Suppose v is finite-dimensional with dim(v ) 1 and w is infinite-dimensional. Prove that l(v, w) is infinite-dimensional.
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More precisely, prove that if dimV D 1 and T 2 L.V; V/, then there exists 2 F ... Suppose U is a subspace of V with U ¤ V. Suppose S 2 L.U; ... Prove that L.V; W/ is infinite-dimensional.
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