For the points p$1(1,1),$p$2(3,1),$p$3(4,2),$p$4(2,3),$ that defines a $2-$D

polygon, develop a single transformation matrix that

$($a$)$ Reflects about the line x$=0,$

$($b$)$ Translates by $-1$ in x direction and $2$ in the y direction, and

$($c$)$ Rotates about the z$-$axis by $180\backslash$deg CCW$.$

Using the transformations, determine the new position vectors.