Consider the basis S = {v,, V2, V3} for R3, where v1 = (1, 2, 1), v2 = (2, 9, 0), and v3 = (3, 3, 4), and let T:R3 - R? be the linear transformation for which T(v;) = (1, 0), T(v2) = (- 1, 1), T(V3) =...

Subject: Linear Algebra

Extracted text: Consider the basis S = {v,, V2, V3} for R3, where v1 = (1, 2, 1), v2 = (2, 9, 0), and v3 = (3, 3, 4), and let T:R3 - R? be the linear transformation for which T(v;) = (1, 0), T(v2) = (- 1, 1), T(V3) = (0, 1) Find a formula for T(x1, X2, X3), and use that formula to find T(8, 63, 8). T(8, 63, 8) = (