Since the system of linear equations given above is of the form “Ax = 0”, the solution is given by the basis vectors of the null space of “A”. Any integral multiple of these basis vectors will also be a solution to the above system.
To determine the null space basis vectors, you may use the “null” function in MATLAB. In this case, the solution is given by
which yields x = [0.5;0.5;0.5] as the result. All the other scaled versions of x will also be a solution.