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

question 83

Multiple Choice

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

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