Question: Suppose V, W Rn are subspaces of the same dimension. Prove that there is an invertible linear function L: Rn Rn that takes

Suppose V, W ⊂ Rn are subspaces of the same dimension. Prove that there is an invertible linear function L: Rn → Rn that takes V to W.

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Let m dimV dimW As guaranteed by Exercise 2424 we can choose bases v 1 v n and w ... View full answer

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