If in non-homogeneous system of equations$\ AX = B$ , every equation's value is smaller than variable $\ X$, then:
- A) AX = B has unlimited number of solutions;
- B) AX = B has only one solution;
- C) AX = 0 has unlimited number of solutions;
- D) AX = 0 the only solution for this equation is 0;
C is a correct answer but I don't really understand why. I can understand that D is 100% incorrect since A can be 0, X will be a set (0;+$\infty$).
However first two answers are puzzling me and I can't quite get it.