The problem: V= , T(a,b)= (2a+b, a-3b), x= (3,5). Evaluate T* at the given vector in V.
I solved this by putting T in matrix form ( ) finding ( ) and computing which equals .
I believe this method to be correct (though I wouldn't really be shocked if you told me it wasn't), however, I'd like to be able to solve this problem using the property because it is my understanding that this is the only way to solve some of these problems. But I can't figure out how this is possible despite at least an hours attempt. *bangs head against wall*