1. State and prove dim(V/W)= dim(V)-dim(W) where W is subspace of finite dimensional vector space V.

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Basis and Dimension Basis and Dimension
1. State and prove dim(V/W)= dim(V)-dim(W) where W is subspace of finite dimensional vector space V. 1. State and prove dim(V/W)= dim(V)-dim(W) where W is subspace of finite dimensional vector space V.
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Let W be a subspace of a finite dimensions vector space V(F), then dim( V/W) = dim V - dim W Let W be a subspace of a finite dimensions vector space V(F), then dim( V/W) = dim V - dim W
Basis and Dimension Basis and Dimension