- #1
newtomath
- 37
- 0
If S= { v1, v2, v3...vn} lies in a vector space, S is linearly dependent if one vector in S is a linear combination of all the other vectors in S.
So I set up the below:
c1v1A + c2v2A +c3 v3A= 0
c1v1B + c2v2B +c3 v3B= 0
c1v1C + c2v2C +c3 v3C= 0
Since S lies in the vector space we know there are infinitely many solutions for (c1,c2,c3)
What am I missing here?
So I set up the below:
c1v1A + c2v2A +c3 v3A= 0
c1v1B + c2v2B +c3 v3B= 0
c1v1C + c2v2C +c3 v3C= 0
Since S lies in the vector space we know there are infinitely many solutions for (c1,c2,c3)
What am I missing here?