- #1
InbredDummy
- 85
- 0
for #2
i have the matrix:
1 1
1 0
1 0
1 0
0 0
0 0
0 0
my reasoning is that when we extended the basis of U to the basis of V, we added 3 vectors (v1,v2,v3) and in order to have T(u)=T'(u), we need to send (v1,v2,v3) to zero.
however the injective part I'm not sure about. i don't know if the null space is {0}. and the surjectivity I'm not too sure about either. and in general, I'm not sure what conditions on U,V,W,T would garner T' to be injective or surjective.
for #5:
i'm not surewhat the e* elements are exactly. so I'm really lost on this one.
i have the matrix:
1 1
1 0
1 0
1 0
0 0
0 0
0 0
my reasoning is that when we extended the basis of U to the basis of V, we added 3 vectors (v1,v2,v3) and in order to have T(u)=T'(u), we need to send (v1,v2,v3) to zero.
however the injective part I'm not sure about. i don't know if the null space is {0}. and the surjectivity I'm not too sure about either. and in general, I'm not sure what conditions on U,V,W,T would garner T' to be injective or surjective.
for #5:
i'm not surewhat the e* elements are exactly. so I'm really lost on this one.