Exercise 5

Lemma 3.7 says that we can use any particular solution for $\vec{p}$. Find, if possible, a general solution to this system

that uses the given vector as its particular solution.

• (a)  $\begin{pmatrix}0\\ 0\\ 0\\ 4\end{pmatrix}$     (b)  $\begin{pmatrix}-5\\ 1\\ -7\\ 10\end{pmatrix}$     (c)  $\begin{pmatrix}2\\ -1\\ 1\\ 1\end{pmatrix}$