Question

Find the image of the set S under the given transformation S ={(u,v)| 0<=u<=v, 0<=v<=2}
x =2u +3v, y =u-v
Please, step by step

Answer 1

\[\left[\begin{matrix}2&3\\1&-1
\end{matrix}\right]
\left[\begin{matrix}u\\v
\end{matrix}\right]=
\left[\begin{matrix}x\\y
\end{matrix}\right]
\]
invert the matrix on the left
:)

Answer 2

no need to draw out the boundary and convert step by step from that rectangular?