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

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The system below is called a homogeneous system because it has (0,0,0) ( 0,0,0 ) as a solution. However, if the system is dependent, it will have infinitely many more solutions. Determine whether (0,0,0) ( 0,0,0 ) is the only solution or if the system is dependent.
9x+8y4z=08x+9y4z=03x4y9z=0\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}


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