(Solved): (1.2: Solving linear equations) Consider the following linear system with a and b unknown non-zero ...

(1.2: Solving linear equations) Consider the following linear system with $$a$$ and $$b$$ unknown non-zero constants. $$\begin{array}{c}{x}_1?3x_2+x_3=4\\ ?8x_3=?2\\ 2x_1?6x_2+a{x}_3=b\end{array}$$ (a) For what values of $$a$$ and $$b$$ does the system have infinitely many solutions? (b) Given an example of $$a$$ and $$b$$ where the system has exactly one solution. (c) Give an example of $$a$$ and $$b$$ for which the system has no solutions.