Write C code to compute the inverse of a N X N dimension matrix. N can be 2 or 3.

a. The code must prompt the user to enter N.

b. You must use for loop to scan in the matrix elements into a two-dimensional array.

c. Compute the determinant of the matrix. Check for conditions when inverse does not exist for the input matrix. Print out the determinant.

d. You must use a for/while loop in this part for array iteration.

e. Print out the matrix inverse in N X N row-column format.

f. Use nested for loops to verify that the product of the input matrix and its inverse is the Identity matrix. Print out the identity matrix