Consider the Euclidean vector space$\displaystyle R^2$ with the basis$\displaystyle B = {(2 \quad 0),(1 \quad 1)}$

and the linear transformation $\displaystyle $\displaystyle T:x \rightarrow Ax$$, where

A = [1 2 ; 0 1]

Find the $\displaystyle B$-matrix of $\displaystyle T$, that is find $\displaystyle [T]_B$

I thought that I was just going to find the transform matrix from B to A, but that doesn't seem right?