Please write the matlab code.

In this exercise we will manipulate the colors of an image. Follow the instructions below:

a$)$ Use imread to load the image file $$auk$.$png$$ into your MATLAB script and store the image into a variable named img$1.$ Note that this image has a color mode of $8-$bit RGB$.$

b$)$ Use imshow to display the image. Add a title to label the image as $$Original$.$

c$)$ Invert the image colors and store the result in a variable named img$2.$

d$)$ Display the new image and label it as $$Inverted$.$

e$)$ Call rgb$2$gray to convert img$1$ to grayscale. Store the result in a variable named img$3.$

f$)$ Display the new image and label it as $$Grayscale$.$

g$)$ Scale down img$1$ from Exercise $1$ to half its size. Store the result in a variable named img$4.$

h$)$ Display the new image and label it as $$Resized Image.$$