Solve using matrices, especially the last question

Let =40,0,CLD} F= {(3,2), (43)} and let L: R? R? such that L(x4,%2) = (2x4 X2, 3%) a) b) d) Determine the transition matrix (change of basis matrix) from E to F (Draw the commutative triangle). The coordinate vector of (1,3) with respect to the basis Fis (2,1) (you can check). (i) By using the transition matrix that you found in a), what is the coordinate vector of (1,3) with respect to the basis F? Find the matrix representation A, of the linear transformation with respect to the basis FE. Find the matrix B that represents L with respect to F using the similarity relation. Use the sub and super indices ( F', EF) to guide where you are \"going\" so that the transitions make sense