I need to know how to compute T with respect to the basis b. and i need a way to know where b is a basis consisting of egeinvectors of T.

Let v= p_1(R), T(a+bx)= (6a-6b)+(12a-11b)x and the basis B={3+4x,2+3x}

Let V= R^3, T = =

The basis B= { }

general steps will defenitely help.