Hi there, would you solve it real quick, that would be helpful and appreciated. Thank you. I will give a good feedback too.

Quethan: Let H be a nonzero subs pace of V, and suppose T is a one- to- one ( linear ) mapping of Vinto w. Prove that dim TCM) = dimM If I happens to be a one- to-one mapping of V onto w, then dimv = dim W. Isomorphic finite - dimensional vector space have the same dimension