Consider the basis S = {v,, v2} for R2, where v, = (- 2, 1) and v, = (1, 3), and let T:R2 - R3 be the linear transformation such that T(v,) = (- 1, 6, 0) and T(v2) = (o, - 7, 13) Find a formula for...

Subject: Linear Algebra

Extracted text: Consider the basis S = {v,, v2} for R2, where v, = (- 2, 1) and v, = (1, 3), and let T:R2 - R3 be the linear transformation such that T(v,) = (- 1, 6, 0) and T(v2) = (o, - 7, 13) Find a formula for T(x,, x2), and use that formula to find T(6, - 7). Give exact answers in the form of a fraction. T(6,-7)=(LD Edit