# Linear Transformation from R^2 to R^3

by JG89
Tags: linear, transformation
 P: 726 Suppose a linear transformation $$T: R^2 \rightarrow R^3$$ was defined by $$T(a_1,a_2) = (2a_1, a_2 + a_1, 2a_2)$$. Now, for example, would I be allowed to evaluate $$T(3,8,0)$$ by rewriting (3,8,0) as (3,8)?
 Quote by JG89 Suppose a linear transformation $$T: R^2 \rightarrow R^3$$ was defined by $$T(a_1,a_2) = (2a_1, a_2 + a_1, 2a_2)$$. Now, for example, would I be allowed to evaluate $$T(3,8,0)$$ by rewriting (3,8,0) as (3,8)?