Vectors & Spacesmedium
0:00.0

Let T:P2P2T: \mathbb{P}_2 \to \mathbb{P}_2 be a linear operator defined by T(p(x))=p(x)+p(x)T(p(x)) = p(x) + p'(x). What is the matrix representation of TT with respect to the basis B={1,x,x2}B = \{1, x, x^2\}?