A Toeplitz (or diagonal-constant) matrix is a matrix in which each descending diagonal from left to right is constant, i.e., all elements in a diagonal are same. In general, any nxn matrix mat[][] is a Toeplitz matrix if every cell mat[i][j] is same as mat[i-1][j-1], mat[i+1][j+1], mat[i-2] [j-2], mat[i+2][j+2], .. for every cell mat[i][j] and all the valid cells mat[i+k] [j+k] or mat[i-k][j-k]. Example (Not the Sample Output): Input: mat[N][N] ={{6, 7, 8}, {4, 6, 7}, {1,4, 6}}, Output : True; Values in all diagonals are same. Sample Output: Generated Matrix is 16 20 16 12 11 14 10 16 13 11 ) ( 18 17 15 13 17 14 19 20 12 10 ) ( 20 18 15 10 14 16 10 20 13 20 ) ( 20 17 20 13 17 19 17 18 12 20 ) ( 17 20 14 11 10 20 14 19 17 16 ) ( 18 16 12 12 17 16 16 15 15 17 ) ( 14 14 14 13 16 19 20 12 14 11 ) ( 10 20 19 14 10 20 11 12 16 19 ) ( 17 11 14 19 13 19 12 20 13 17 ) ( 16 18 19 18 19 14 15 19 15 19 ) The generated Matrix is not a Toeplitz matrix Input: mat[N][N] = {{6,7,8,9}, {4, 6, 7, 8}, {1,4,6,7}, {0, 1,4,6}, {2,0, 1,4}}; Output: True; Values in all diagonals are same. Modifying the above matrix to a Toeplitz matrix, we obtain ( 10 10 13 11 10 12 10 12 10 11 ) ( 11 10 10 13 11 10 12 10 12 10 ) ( 12 11 10 10 13 11 10 12 10 12 ) ( 10 12 11 10 10 13 11 10 12 10 ) ( 13 10 12 11 10 10 13 11 10 12 ) ( 14 13 10 12 11 10 10 13 11 10 ) | 14 14 13 10 12 11 10 10 13 11 ) ( 10 14 14 13 10 12 11 10 10 13 ) || 17 10 14 14 13 10 12 11 10 10 ) ( 16 17 10 14 14 13 10 12 11 10 ) Input: mat[N][N] = {{ 6, 3, 8}, {4,9, 7}, { 1,4, 6}}, Output : False; Values in all diagonals are not same. The total number of replacements done is : 53 Now that you have understood what a Toeplitz matrix is, do the following. Using C, 1. Generate a 10 x 10 array using a random number in the range (10,20). 2. Write a C function is Toeplitz(...) as mentioned above to verify if it is a Toeplitz matrix or not. 3. If your matrix is not a Toeplitz matrix, then write a function modify_to_toeplitz(...) to modify the diagonal by replacing the elements along the diagonal with the minimum value along a given diagonal. See an example below. 4. In the modify_to_toeplitz(...) function, count the total number of replacements you have done and display in the output