Given an N*N array.... each element of the array is represented by a[i][j] where i and j vary from 1 to N...

Now, each row of the array contains nos. from 1 to N in some order.. Also, it is given that a[i][j] = a[j][i] for i = 1, 2,...,N and j=1,2,3,...,N... Prove that if N is odd then the nos. a[1][1], a[2][2], ... a[N][N] are 1,2,3...N in some order....

Now, each row of the array contains nos. from 1 to N in some order.. Also, it is given that a[i][j] = a[j][i] for i = 1, 2,...,N and j=1,2,3,...,N... Prove that if N is odd then the nos. a[1][1], a[2][2], ... a[N][N] are 1,2,3...N in some order....