Consider the basis S = {v1, v2}for R2, where v1 = (2, 1) and v2 = (1, 3), and let T : R2 R3 be the linear transformation such that T(v1) = (1, 2, 0) and T(v2) = (0, 3, 5) Find a formula for T(x1, x2), and use that formula to find T(2, 3).

MATH 10B Lecture #10 Notes Ivan Lopez October 25 2016 End of Section 6.1: Line Integrals 3 Deâ–Żnition: A simple curve in the image (range) C of a map c : [a;b] ! R (or R ), which is 1-1 (one-to-one, which is to say that C(t ) =1 6 C(t 2 if t16= t2and does not have any self-intersections except possibly at endpoints)....