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Use the Matrix Capabilities of a Graphing Utility to Reduce

question 200

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Use the matrix capabilities of a graphing utility to reduce the augmented matrix corresponding to the system of equations, and solve the system. {x+2y+2z+4w=203x+6y+5z+12w=53x+3y3z+2w=186xyz+w=30\left\{ \begin{aligned}x + 2 y + 2 z + 4 w & = 20 \\3 x + 6 y + 5 z + 12 w & = 53 \\x + 3 y - 3 z + 2 w & = - 18 \\6 x - y - z + w & = - 30\end{aligned} \right.

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