a. Consider the bases B={(12),(35)} and C={(21),(14)} for R2. If the linear transformation T:R2R2 has a matrix

A=[T]CB=(3459)

with respect to the basis B in the domain and C in the codomain, find the matrix of T with respect to standard bases of R2 in domain and codomain, i.e. find [T]SS where S is the standard basis of R2. Note: Take care over the order of the products!

b. If a linear transformation T:VW (where V, W are finite-dimensional) has matrix A=[T]SB with respect to a basis B for V and the standard basis S for W, find an expression for the matrix of T with respect to the standard basis S for V and a basis C for W, i.e. find [T]CS.

Sorry for the weird mathfrak font, I didn't know which one they use for the actual question.