Let V be a vector space over field F.Let g,f1,f2,...fk belong to V* i.e;dual of v,then show that g belongs to span{f1,f2,...,fk} if and only if intersection of kernel(fi) i=1 to k is subset of Kernel(g)..

Thank you in advance..

Printable View

- November 7th 2009, 09:07 PMmath.djDual space
Let V be a vector space over field F.Let g,f1,f2,...fk belong to V* i.e;dual of v,then show that g belongs to span{f1,f2,...,fk} if and only if intersection of kernel(fi) i=1 to k is subset of Kernel(g)..

Thank you in advance.. - November 8th 2009, 06:32 AMtonio
- November 10th 2009, 05:14 AMmath.dj
Thank a ton..:)