Homework Statement
Let Y:P3(R) onto P2(R) is defined by T(a0+a1z+a2z2+a3z3)=a1+a2z+a3z2. Find bases for null (T) and range (T). What are their dimensions?
Homework Equations
The Attempt at a Solution
Well, I am assuming the range is the a1+a2z+a3z^2, so it has dimension of 3, and...