- #1
johnnyboy2005
- 29
- 0
I'm just wondering if someone can let me know if I'm on the right path here...
this question asks to show that the Function T: R^3 ----> R^2 given by the formula T(X1, X2, X3) = (2X1 - X2 + X3, X2 - 4X3) is a linear transformation.
soln' the definition of a L.T. is that T(u + v) = T(u) + T(V)
and T(cU) = cT(U)
so i show that T[(X1, X2, X3)+(Y1, Y2, Y3)] = T(X1, X2, X3) + T(Y1, Y2, Y3)...but what do i use as Y1, Y2, Y3? thanks for the time and help
this question asks to show that the Function T: R^3 ----> R^2 given by the formula T(X1, X2, X3) = (2X1 - X2 + X3, X2 - 4X3) is a linear transformation.
soln' the definition of a L.T. is that T(u + v) = T(u) + T(V)
and T(cU) = cT(U)
so i show that T[(X1, X2, X3)+(Y1, Y2, Y3)] = T(X1, X2, X3) + T(Y1, Y2, Y3)...but what do i use as Y1, Y2, Y3? thanks for the time and help