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Suppose V is finite-dimensional with dim V>0, and suppose W is infinite-dimensional. Prove that L (V, W) is infinite-dimensional. Problem 16. Suppose V is finite-dimensional

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Suppose V is finite-dimensional with dim V>0, and suppose W is infinite-dimensional. Prove that L (V, W) is infinite-dimensional.

Problem 16. Suppose V is finite-dimensional with dim V > 0. and suppose II is infinite-dimensional. Prove that L (V, II') is infinite-dimensional. [10 marks]

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