for #2(adsbygoogle = window.adsbygoogle || []).push({});

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 dont 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear Maps

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**