Q$\mathrm{.}3.(20$ points$)$ There is a painting that has four corners at $(0,0,0),(2,0,0),(2,2,0),(0,2,0).$ That is$,$ it is $2$ units high and $2$ units

long, starts at the origin and is parallel to the $x-$axis. Find the transformation matrix that turns it into a painting with corners

$(0,0,2),(0,0,0),(-1,0,0),(-1,0,2).$ That is$,$ a rectangle of size $21$ units, which is parallel to $z-$axis.