Consider the basis S = {v,, v2} for R?, where v, = (- 2, 1) and v, = (1, 3), and let T:R? - R3 be the linear transformation such that T(v,) = (- 1, 2, 0) and T(v2) = (o, - 3, 5) Find a formula for...

Subject: Linear Algebra

Extracted text: Consider the basis S = {v,, v2} for R?, where v, = (- 2, 1) and v, = (1, 3), and let T:R? - R3 be the linear transformation such that T(v,) = (- 1, 2, 0) and T(v2) = (o, - 3, 5) Find a formula for T(x,, x2), and use that formula to find T(2, - 3). Give exact answers in the form of a fraction. T(2,-3)=(LD Edit