Practice assignments and not for submission

Problem 1: 
Write a C program that takes as input four positive numbers -- row1, col1, 
row2, col2 and allocates space dynamically for two arrays A and B using 
pointer to pointer. A should be of size row1Xcol1 and B should be of size
row2Xcol2. Now, if col1 equals row2, multiply matrices A and B to generate 
another matrix C. Print the matrix C properly. 

Problem 2: 
Write a C program that takes as input a positive integer 'n' and generates 
a matrix of size 2^n x 2^n using pointer to pointer. Fill the matrix 
in a row major order with integers in the range [1,2^(2n)]. Write recursive 
functions to print the matrix in snake fashion.

Problem 3:
Write a program in C that represents a polynomial of a single variable 
in a dynamic array and stores only those entries that have non-zero 
co-efficient. With this representation of a polynomial, 
write functions that 
(i) adds two polynomials 
(ii) multiplies two polynomials
(iii) evaluates a polynomial at any real value
(iv) finds the derivative of a polynomial.