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Use Gauss-Jordan Row Reduction to Solve the System 3x+y−2z=−42x−3y+2z=11x+y+z=3\begin{aligned}3 x + y - 2 z = & - 4 \\2 x - 3 y + 2 z = & 11 \\x + y + z = & 3\end{aligned}

Question 61

Multiple Choice

Use Gauss-Jordan row reduction to solve the system.

3x+y−2z=−42x−3y+2z=11x+y+z=3\begin{aligned}3 x + y - 2 z = & - 4 \\2 x - 3 y + 2 z = & 11 \\x + y + z = & 3\end{aligned}


A) (1,−1,3) ( 1 , - 1,3 )
B) (9,25,−9) \left( 9 , \frac { 2 } { 5 } , - 9 \right)
C) (0,9,25) \left( 0,9 , \frac { 2 } { 5 } \right)
D) (3,5,−5) ( 3,5 , - 5 )
E) inconsistent

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