Linear Algebra help

• July 5th 2008, 08:59 PM
JCIR
Linear Algebra help
Let V and W be finite-dimensional vector spaces and T: V--> W be linear.

a) Prove that if dim(v)< dim(W), then T cannot be onto.
b) Prove that if dim(V)> dim(W), the T cannot be 1-1
• July 6th 2008, 12:42 PM
ThePerfectHacker
Use rank-nullity theorem on $T$.