Chapter 3.2, Problem 15E

Let A be a $4\times 3$ matrixandlet
$\text{c}=2{\text{a}}_{\text{1}}+{\text{a}}_{\text{2}}+{\text{a}}_{\text{3}}$
(a) If $N\left(A\right)=\left\{0\right\}$ , what can you conclude aboutthe solutions to the linear system $A\text{x}=\text{c}$ ?
(b) If $N\left(A\right)\ne \left\{0\right\}$ , how many solutions will thesystem $A\text{x}=\text{c}$ have? Explain.