Determine the new point after applying the transformation to the given point.use the induced matrix associated with each transformation to find the new point.

a)$\displaystyle x = (2,-4)$ reflected about $\displaystyle x-axis$

b)$\displaystyle x = (2,-6$ rotated $\displaystyle 30^0$ in the counter-clockwise direction.

c)Dilate $\displaystyle x = (4,-1,-3)$ by $\displaystyle 2$(i.e$\displaystyle 2x$) and then project at the y-axis.