Recent content by quanta13

Homework Statement Can you help please? I have this problem: Let S be the set of all vectors parallel to the hyper-plane 4x +2y+z + 3r =0 in R^4 . (a) Show that S is a subspace, (b) Determine a basis for S , (c) Find its dimension Homework EquationsThe Attempt at a Solution S= { u=(x, y,z,r) |...

No, I don't know the definition in English. I know that when we assume c1.V1 +c2.V2+c3.V3+...+cn.Vn=0 where c are coefficients and v are our vectors, if all c coefficients are zero, vectors are linearly independent, if not then they are dependent.

I am so sorry for not capitalizing ''I''. I wrote down the question: ''determine whether the given vectors (2,0,1,-1,0) , (1,2,0,3,1) and (4,-4,3,-9,-2) are linearly dependent or independent in R^3? '' I think it is clear what is asking. Thanks.

i am asked to determine whether 3 vectors which have 5 dimensions (x,y,z,w,u) are linearly dependent or independent in R^3. it doesn't make any sense. should i ignore w and u dimensions and take x,y,z only? because if i dont, all answers would be same, doesn't matter in r^3 or R^4 etc. the...