Is There More Than Meets the Eye in Finding the General Solution for a Matrix?

[nk735]

Homework Statement

Given the matrix A=[...], find the general solution of; A[x;y;z]=[0;0;0]

Homework Equations

The Attempt at a Solution

This question has me lost. When I look at that it tells me x, y and z are all equal to 0. Is there something I'm missing, perhaps in the words 'general solution'?

 

[jhicks]

A[x;y;z]=[0;0;0] is stating in matrix form the general solution to a set of 3 equations of variables x,y,z all = 0. For example If A=[a b c;d e f;g h i], how does one write what x, y and z are in terms of a,b,c,d,e,f,g,h and i IF ax+by+cz=0, dx+ey+fz=0 and gx+hy+iz=0? That's what I got out of the question.