- #1
Josh123
- 30
- 0
Question about "Span"
Given 3 vectors:
v1=(1,1,2)
v2=(1,0,1)
v3=(2,1,3)
To determine if they span R^3, I placed these 3 vectors in an augmented matrix. I found the determinant to be 0 which means that the 3 vectors do NOT span R^3. My question is, since v1,v2,v3 are linearly dependent, are they not supposed to span R^3?
Given 3 vectors:
v1=(1,1,2)
v2=(1,0,1)
v3=(2,1,3)
To determine if they span R^3, I placed these 3 vectors in an augmented matrix. I found the determinant to be 0 which means that the 3 vectors do NOT span R^3. My question is, since v1,v2,v3 are linearly dependent, are they not supposed to span R^3?