- #1
kira137
- 16
- 0
Homework Statement
I was given
| 1 2 -1 2 |
| 2 4 1 -2 | = A
| 3 6 0 -6 |
and reduce it to rref.
Also I had to find all four fundamental subspaces of A.
2. The attempt at a solution
so I did
R2 - 2R1
R3 - 3R1
R3 - R2
and got
| 1 2 -1 2 |
| 0 0 3 -6 |
| 0 0 0 -6 |
... Arent rref suppose to have all zero row at the bottom? I don't think this is rref because of that -6 in row 3...
and I'm not very sure about how to go about four fundamental subspaces. Am I suppose to solve for C(A), N(A), C(A^T), N(A^T)? and am I suppose to solve for dim for each of them or special solutions?
thank you for replies in adavance