Recall that the standard basis of ℝ3 is {e1, e2, e3}. if t: ℝ3→ℝ2 is a transformation and the action of t on the vectors ei is as given, find a formula for t(x), where x is any vector in ℝ3.

t(e1)= 2 t(e2)= \begin{bmatrix} 0 \\ 5 \end{bmatrix} t(e3) = \begin{bmatrix} 4 \\ 0 \end{bmatrix}

t\begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} ? \\ ? \\ ? \end{bmatrix}