Mettre sous forme matricielle et résoudre les systèmes suivants.
1
\(\left\{\begin{array}{rcl}2x+y+z&=&3\\3x-y-2z&=&0\\ x+y-z&=&-2\\x+2y+z&=&1\end{array}\right.\)
2
\(\left\{\begin{array}{rcl}x+y+z+t&=&1\\x-y+2z-3t&=&2\\ 2x+4z+4t&=&3\\2x+2y+3z+8t&=&2\\5x+3y+9z+19t&=&6\end{array}\right.\)
3
\(\left\{\begin{array}{rcl}2x+y+z+t&=&1\\x+2y+3z+4t&=&2\\ 3x-y-3z+2t&=&5\\5y+9z-t&=&-6\end{array}\right.\)
4
\(\left\{\begin{array}{rcl}x-y+z+t&=&5\\2x+3y+4z+5t&=&8\\ 3x+y-z+t&=&7\end{array}\right.\)
5
\(\left\{\begin{array}{rcl}x+2y+3z&=&0\\2x+3y-z&=&0\\ 3x+y+2z&=&0\end{array}\right.\)