1.[30] Write a program that takes a 4 x 4 matrix as input from the user. Implement the following functions:
a. Print the transpose of the matrix
b. Print the trace of the matrix (sum of all diagonal elements)
c. Check whether the matrix is symmetric (transpose(A)=A)
d. Check whether the matrix is anti-symmetric (transpose(A)=-A)


2. [40] Input a 4 x 4 matrix from the user and find min-max and max-min of the
matrix. The min-max is calculated by as first taking the 
maximum entry of each of the rows and then finding the minimum of all those maximum
entries. Alternatively, max-min is calculated as 
first taking the taking the minimum entry of each of the rows and then finding the
maximum of all those maximum entries. You can 
verify that min-max is always greater than or equal to min-max.


3.[30] Write a program that takes two binary arrays of size 10 and 4 respectively as
input from the user. Then find all the occurrances 
of array of size 4 in the array of size 10. Print all the starting index positions
of occurrence. For example:

a. First Array= 1010101101
Second Array= 1010

Starting Locations: 0,2,4

b. a. First Array= 0111011101
Second Array= 1110

Starting Locations: 1,5.