Recent content by hannahlu92

thank you for taking the time to try and help me. My final is tomorrow and I still can't understand Linear Algebra

I don't know how to because I haven't done one before. My teacher writes definitions on the board and proofs, but no practical examples, so nothing is cementing in my brain.

Homework Statement Prove: If V and W are finite-dimensional vector spaces such that dim(W)<dim(V), then there is no one-to-one linear transformation T:V-->W The Attempt at a Solution I don't know how to do a well thought out proof.

Determine whether the linear transformation T is one-to-one a) T:P2 --> P3, where T(a+a1x+a2x^2)=x(a+a1x+a2x^2) b) T:P2 --> P2, where T(p(x))=p(x+1) I'm having difficulty because my teacher never showed examples like this one. Please help me on the procedure and solution.