1. The problem statement, all variables and given/known data Let T: ℝ² → P² a linear transformation with usual operations such as T [1 1] = 1 - 2x and T [3 -1]= x+2x² Find T [-7 9] and T [a b] **Though I'm writing them here as 1x 2 row vectors , all T's are actually 2x1 column vectors (I didn't see a way to give them proper format)** 2. Relevant equations T(x)= Ax Ax=b 3. The attempt at a solution Finding the transformation for the required vectors is not an issue, as long as I have the associated standard matrix, however my approaches to find this matrix have not come out successful. Since the transformation goes ℝ² → P² it is my understanding that the associated matrix is 3x2 so using the inverse or the transformations of the canonical vectors T(ei) don't seem to help much (or I am failing to see how to properly apply them). The other option it is that this is a linear transformation that is not matricial, in which case I'm uncertain on how to approach it. Any advise would be appreciated.