For each question of the following two questions, answer the question in a separate file, and name each file as follows: yourStudentNumber$\_$QuestionNumber.

Write a Matlab function that takes a $2-$d matrix of numbers of type uint$8$ as a parameter and returns the entropy value for the matrix. The function should be written inside an $M$ file. You MUST implement the entropy function from scratch, do not use the ready $($predefined$)$ Matlab entropy function.

Write a Matlab function that takes two input parameters: $(1)$ a $2-$d matrix before compression, and $(2)$ a $2-$d matrix after compression, computes the Mean Square Error $($MSE$)$ for the two matrices, and returns the computed MSE as an output. The function should be included inside an $M$ file.

Write a Matlab function that takes as an input an image block of size $1616$ size and type uint$8,$ and computes $(1)$ the $2$D discrete cosine transform for the block and stores the output in a variable called DMATRIX, $(2)$ then from DMATRIX computes the inverse $2$D discrete cosine transform and stores the output in a variable called IDMATRIX. The function must have two return variables which are DMATRIX and IDMATRIX. The function must check that the size of the input block is $1616.$