Write a program grayscale.py that converts a colored image into grayscale.

A color image is a widthheight3 matrix. Use any python package to read the image as a matrix. Convert each pixel (with R,G,B values) to a single grayscale value using the equation below. value = 0.2989R + 0.5870G + 0.1140B

An example code to read the image is: from matplotlib.image import imread image_rgb = imread(infile)

An example code to write the image is: from matplotlib import pyplot as plt #pyplot requires pixel values to be between 0 and 1 image_gray = plt.imsave(outfile.jpeg,outfile/255)