(Solved): Consider the basis S = fv1; v2g for R 2 ; where v1 = (-2; 3) and v2 = (-1; 0). Let T : R 2 ! R 3 be ...
Consider the basis S = fv1; v2g for R 2 ; where v1 = (-2; 3) and v2 = (-1; 0). Let T : R 2 ! R 3 be the linear transformation such that T (v1) = (2; 3; 1) and T (v2) = (1; 2; 4): Find a formula for T (x; y); and use that formula to Önd T (2;-3).