- #1
Mr Davis 97
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- Homework Statement
- Note that V and W are finite dimensional vector spaces.
I know how to do the similar problem when we're looking at all of the linear maps that map ALL elements to zero (in this case you can use the rank-nullity theorem to get a definite answer on the dimension). But I am not sure how to approach this one. It seems that upperbound is (dim V)(dim W) if all the vectors ##v_1, v_2, v_3## are just the zero vectors. But I am not sure about the lower bound.
- Relevant Equations
- rank-nullity theorem?