(Solved): what is a homogeneous system and how to solve part a and b? Let \[ A=\left[\begin{array}{llll} ...

what is a homogeneous system and how to solve part a and b?

Let \[ A=\left[\begin{array}{llll} 1 & 2 & 2 & 2 \\ 2 & 5 & 7 & 7 \\ 3 & 6 & 6 & 6 \end{array}\right] \] (a) Find all possible solutions of the homogeneous system \( A x=0 \). (b) Find all possible solutions of \( A x=b \), where \[ b=\left[\begin{array}{l} 3 \\ 7 \\ 9 \end{array}\right] \]