How would I adjust a matrix for fractal pipe network (see attached files)?

See attached files. I specifically need help with part (c) described in File "Ass02-Problems.pdf"

Answer 1

[Rajesh Balagam]

If you are looking for an answer to "How to modify an existing matrix to append new rows/columns?", you can do this as below:

% add a new column to the matrix A
A = [A new_column];

% add a new row to the matrix
A = [A; new_row];

new_row or new_column dimensions should match with the corresponding dimensions of A.

If you looking for an answer to part (c) of the problem, a hint is provided in the question itself. You need to construct a new balance equation and transform it as a new row/column to be added to the existing coefficient matrix "A" and add the new unknown variable from the balance equation to the "x" vector.