I'm just wondering if someone can let me know if i'm on the right path here...(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Homework Help: Linear Transformations question

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