A simple formulated solution of homogeneous linear equations

Homogeneous linear equations of n-variables have the non-zero solutions when the rank of its matrix is less than n. To get this solution, the matrix can be proceeding elementary operation. But to the equation whose rank of matrix is n-1, there is a formulated solution as simple as the Cramer Law. This solution is very convenience for the homogeneous linear equations of 3-variables.