Question

Let T: R^3->R^2 be defined as
T(x,y,z)=(x+2y+2z , 2x+3y+4z)
for all (x,y,z) belonging to R^3
Find the matrix of T w.r.t standard basis.

Answer 1

\[
\left(
\begin{array}{ccc}
1 & 2 & 2 \\
2 & 3 & 4 \\
\end{array}
\right)
\]