Referring to problem:
https://www.mathworks.com/matlabcentral/cody/problems/44530-are-you-more-familiar-with-iteration-methods-or-linear-algebra-let-s-see-together
Given a sum result x value of a N number of addends, build an array of N elements y such that the following equality is satisfied: sum(y) = x .
For example if: x = 10 and N = 2, possible solutions for y are: [7 3], or [8 2].
More formally if x = a and N = n it results:
y = [y_1 y_2 y_3 ... y_n] where: y_1 + y_2 + y_3 +...+ y_n = a
Important notice: All the elements in y must be: different from zero, different from each other and strictly positive . On the other hand I will not take into account if they are integers or decimal numbers .
Hint: You can use several approaches and the solution is not unique. For example you can think to approach with a iterative method or, if you are more accustomed with Algebra, by solving a linear system. This choice it's up to you.
Good luck and enjoy with the solution ;)
There is a unique solution to the linear equations.
Dear Jia, the solution is not unique. I've upload a second one that is simpler and does not require to solve any linear system.
Dear Riccardo, It's a very interesting topic. It's a collection of notes.