- #1
physics=world
- 110
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1. Determine whether the set a) spans r3 and b) is linearly independent.
S = {(1,0,0) , (0,1,0), (0,0,1), (2,-1,0)}
3. For Span, I put it in a matrix:
1 0 0 2
0 1 0 -1
0 0 1 0
From there I concluded that the dimension of the column equal to the rank of the matrix, which is 3. So, it spans R3.
Is this right?
S = {(1,0,0) , (0,1,0), (0,0,1), (2,-1,0)}
Homework Equations
3. For Span, I put it in a matrix:
1 0 0 2
0 1 0 -1
0 0 1 0
From there I concluded that the dimension of the column equal to the rank of the matrix, which is 3. So, it spans R3.
Is this right?