Given square matrix A and vector X, find a permutation of the elements of X such that A*X=0

X= [7; 11; 3; 10; 5; 12; 8; 9]

A=[2 -1 4 6 0 -2 -3 -3; -7 -7 -5 0 4 5 11 -3; -12 7 -5 2 7 1 -9 3; 10 1 -1 5 1 -11 10 -9; -1 10 -6 7 -8 -11 1 1; 5 -5 10 6 -6 7 -2 -12; 9 10 0 8 1 -6 -12 -10; -3 9 -1 -6 -6 -8 6 7]

for this A*X=0 Find the rearrangement of x elements so that A*xp = 0 Xp It is X after rearranging the elements on Matlab

I want the complete code so i can try it