- #1
pyroknife
- 613
- 3
Lets say you have 3 vectors v1, v2,v3. They form a 3x3 matrix.
Let's say you're asked if v3 is a linear combo of the other two vectors.
Rref of the matrix gives
1 0 1
0 1 0
0 0 0
The definition of a Linear combo is v3=c1v1+c2v2 where c1 and c2 are scalars.
Okay do this is where I get con fused . If u look at the above matrix c2=0 which means v3=c1v1. Would that mean its not a linear combination of v2 since c2=0?
Also is 0 a scalar?
Let's say you're asked if v3 is a linear combo of the other two vectors.
Rref of the matrix gives
1 0 1
0 1 0
0 0 0
The definition of a Linear combo is v3=c1v1+c2v2 where c1 and c2 are scalars.
Okay do this is where I get con fused . If u look at the above matrix c2=0 which means v3=c1v1. Would that mean its not a linear combination of v2 since c2=0?
Also is 0 a scalar?