Problem 43492. Create a square matrix with given conditions

Create a square matrix, M, which should be populated as follows:

 M = [ n^2      n * (n-1)    n * (n-2)  ...    n * 2    n * 1;
     (n-1)*n  (n-1)*(n-1)  (n-1)*(n-2)  ...  (n-1)*2  (n-1)*1;
     (n-2)*n  (n-2)*(n-1)  (n-2)*(n-2)  ...  (n-2)*2  (n-2)*1;
        .          .            .       .       .       .    ;
        .          .            .        .      .       .    ;
        .          .            .         .     .       .    ;
       2 * n    2 * (n-1)    2 * (n-2)  ...    2 * 2    2 * 1;
       1 * n    1 * (n-1)    1 * (n-2)  ...    1 * 2    1 * 1]