Write a Matlab function that takes gray image matrix F and $2$ integer numbers R and

C$.$ The function will return an image matrix after deleting R rows and C columns randomly from

the image. This function Should perform it operations using loops. You cannot use any of the

predefined functions in Matlab for image resizing or cropping. The function should perform all

required error checking. For this question, you need to generate unique random numbers

because you cannot delete the same row $2$ times. Rand and randn may give repeated randome

numbers. use p $=$ randperm$($n$,$k$)$ to return a row vector containing k unique integers selected

randomly from $1$ to n inclusive.

$3.[10$ Points$]$ Write a Matlab function that asksthe user to input an image name, $2$ integer numbers,

and an output image name. The function reads the image with the input image name using imread

and make sure that the image is loaded. The function then calls the function defined in the

previous question to perform the required image operation. Then, if the operation was successful,

the function saves the modified image to a file named as the output image name using imwrite.

$4.[25$ Points$]$ Re$-$write Question $2$ using victor $($matrix$)$ operations to perform the needed

operations.

$5.[25$ Points$]$ Write a matlab script that runs the functions from questions $2$ and $4$ for $10$ times each

on the rose$\_1024$ image, $[$R$,$C$]=(100,100),$ and measure the execution time of each run. Record

the execution time of each run in the following table and then calculate the average of the $15$

runs.