Exercise 6

Solve each system using matrix notation. Express the solution set using vectors.

• (a)  $\begin{array}{rcrcrcr}3x&+&2y&+&z&=&1\\ x&-&y&+&z&=&2\\ 5x&+&5y&+&z&=&0\end{array}$     (b)  $\begin{array}{rcrcrcrcr}x&+&y&-&2z&=&0\\ x&-&y&&&=&-3\\ 3x&-&y&-&2z&=&-6\\ &&2y&-&2z&=&3\end{array}$     (c)  $\begin{array}{rcrcrcrcrcr}2x&-&y&-&z&+&w&=&4\\ x&+&y&+&z&&&=&-1\end{array}$     (d)  $\begin{array}{rcrcrcr}x&+&y&-&2z&=&0\\ x&-&y&&&=&-3\\ 3x&-&y&-&2z&=&0\end{array}$