It should be noted here that when the homogeneous linear equation system Ax=0 has a non-zero solution, the expression of its general solution is not unique, as long as the following conditions are met:
1, and the structure of the general solution is x = k1ξ1+K29582+...+Kr ξ r.
2.ξ 1,ξ2, ..., ξr are all nonzero solutions of Ax=0, and they are linearly independent.
3.r=n-r(A), where n is the number of unknowns and r(A) is the rank of coefficient matrix a.
In addition, in ξ 1, ξ2, ..., ξr, fractions and common factors greater than 1 generally do not appear, because these denominators and multiples can be divided by the previous coefficients K 1, K2, ..., Kr.