let gram matrix of vectors v1....vk in V is
<v1,v1> <v1,v2>...<v1,vk>
G(v1,...,vk)= ( .............................. )
<vk,v1> <vk,v2>...<vk,vk>
then prove if v1....vk are linearly dependent then det (G(v1...vk))=0 ,and if v1,...vk are linearly independent then det(G(v1,...,vk))>0
hints:gram matrix is the matrix of <,> restricted to the span of vi-s
can someone help me ???many thanks