The column of I 2 = bmatrix1 & 0\\ 0 & 1 bmatrix are (e 1) = bmatrix1\\ 0 bmatrix , and e 2 = bmatrix0\\ 1 bmatrix . Suppose T is a linear transformation from R^2 into R^3 such that T(e 1) =…

The column of I_2 = $\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]$ are (e_1) = $\left[\begin{array}{c}1\\ 0\end{array}\right]$, and e_2 = $\left[\begin{array}{c}0\\ 1\end{array}\right]$. Suppose T is a linear transformation from R^2 into R^3 such that

T(e_1) = $\left[\begin{array}{c}5\\ 1\\ -2\end{array}\right]$ and T(e_2) = $\left[\begin{array}{c}0\\ -1\\ 8\end{array}\right]$

find a formula for the image of an arbitrary x in R^2. That is, find T(x) for x in R^2.