The system below is called a homogeneous system because it has $( 0,0,0 )$ as a solution. However, if the system is dependent, it will have infinitely many more solutions. Determine whether $( 0,0,0 )$ is the only solution or if the system is dependent.
$$\begin{array} { r }
- 9 x + 8 y - 4 z = 0 \
8 x + 9 y - 4 z = 0 \
3 x - 4 y - 9 z = 0
\end{array}$$
A) $( 0,0,0 )$ is the only solution
B) Dependent system

Question

The system below is called a homogeneous system because it has $( 0,0,0 )$ as a solution. However, if the system is dependent, it will have infinitely many more solutions. Determine whether $( 0,0,0 )$ is the only solution or if the system is dependent.
$$\begin{array} { r } 
- 9 x + 8 y - 4 z = 0 \
8 x + 9 y - 4 z = 0 \
3 x - 4 y - 9 z = 0
\end{array}$$
A) $( 0,0,0 )$ is the only solution
B) Dependent system

Quizplus · Accepted Answer

The Answer of The system below is called a homogeneous system because it has $( 0,0,0 )$ as a solution. However, if the system is dependent, it will have infinitely many more solutions. Determine whether $( 0,0,0 )$ is the only solution or if the system is dependent.
$$\begin{array} { r } 
- 9 x + 8 y - 4 z = 0 \
8 x + 9 y - 4 z = 0 \
3 x - 4 y - 9 z = 0
\end{array}$$
A) $( 0,0,0 )$ is the only solution
B) Dependent system

The System Below Is Called a Homogeneous System Because It (0,0,0)( 0,0,0 )(0,0,0)

The System Below Is Called a Homogeneous System Because It $( 0,0,0 )$