Let ? be a finite-dimensional vector space, ? its dual space and ? a subspace of...

Question

Question

Let ? be a finite-dimensional vector space, V^* ? its dual space and ? a subspace of .

Let U^0 be a subspace of V^* and defined as follows:

$U^0=\{s\in V^*|s(v)=0 \text{ }\forall v\in U\}$

Prove that

1) dim(U)+dim(U^0)=dim(V)

2) (U^0)^0=U

math algebra

Answer 1

Answer #1

be abone Set 2 we getC

Answer 2

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