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...