Let Wi, W2 ,..., Wfc be subspaces of a finite-dimensional vector space V such that ]Tw

Chapter 5, Problem 20

(choose chapter or problem)

Let Wi, W2 ,..., Wfc be subspaces of a finite-dimensional vector space V such that ]Tw , = v. *=1 Prove that V is the direct sum of Wi5 W2 ,... , Wfc if and only if k dirn(V) = ^dim(Wi).

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