Question

Let T: R3→R3 be a L.T. and defined by T(a,b,c)=(a-b,b-c,c-a).Find the matrix with respect to basis (v1v2v3)where v1=(1,0,1),v2=(0,1,1),v3=(1,1,0) is this matrix invertible if so find inverse corresponding to formula for T-1.