Problem:
Let T:R3→R2 be the linear transformation defined by T (X1,X2,X3) = (X1+X2,2X3-X1)
a) If β is the standard ordered basis for R3 and β is the standard ordered basis for R2,what is the matrix of T relative to the pair β,β?
b) If β = {a1,a2,a3} and β= {β1,β2} , where a1 = (1,0,-1),a2 = (1,1,1),a3+(1,0,0),β1 = (0,1,),β2 = (1,0)What is the matrix T relative to the pair β,β?