Construct a 4 X 4 matrix, ??, with the following property: The 16 entries of ?? must include exactly: 6 zeroes, 5 ones, 4 twos 1 three. Your entries may be placed in any position within the matrix.

(i) Construct the directed graph, ??, whose adjacency matrix is the matrix ??. Label your vertices ??, ??, ??, ??.

(ii) Construct the matrix, ??2. My matrix is the following 0,1,2,0 1,0,1,2 2,1,0,1 0,2,3,0 and my matrix for A^2 is: 5,2,1,4 2,6,8,1 1,4,8,2 8,3,2,7

I have tried to upload my graph but to no avail. I have made a directed unweighted graph. Is it better to write a directed weighted graph?