True/False

Let T: R^2 -- R^2 be a linear transformation that induces the matrix

A = [-1,3,1,0]

and let S : R^3 -- R^2 be the linear transformation that induces

B = [1,1,0,-2,3,-1]

A) which of T o S and S o T are possible?

B) For the compositions that are possible, find their induced matrices.

C) Which of S and T are invertible

D) For those that are invertible, find the matrix induced by their inverse.