Determine the data flow between two nodes $($computers or servers$)$ in a network, represented by matrix A$.$Each element in A indicates the amount of data transferred from node row number to node column number. For instance, x is the amount of data sent from node $1$ to node $1,$ i$.$e$.,$ the amount of data that stays in node $1,$ y is the amount of data sent from node $1$ to node $2,$ etc. Given the total data sent and received by each node, find the unknown values in A