Recent content by ehsan_thr

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    Graduate Can a Basis for a Subspace Always Include Specific Elements of a Larger Basis?

    Thank you , so much , i will find another solution for my problem ... .
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    Graduate Can a Basis for a Subspace Always Include Specific Elements of a Larger Basis?

    It means ,every vector of v is a linear combination of elements of the basis ... . ( The elements of v must be linear independent ) I have tried to prove my question , but i coudn't till now ... . my ultimate goal is to prove that for Every proper subspace W of a finite dimensional inner...
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    Graduate Can a Basis for a Subspace Always Include Specific Elements of a Larger Basis?

    suppose that {ei} 1<=i<=n is a basis for v and w is a subspace of v of dimension m<n ... . so Can we always find a basis for w which includes m elements of {ei} 1<=i<=n ? does always w include m elements of {ei} 1<=i<=n ?