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Solve the System Using the Inverse That Is Given for the Coefficient

question 146

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Solve the system using the inverse that is given for the coefficient matrix.
- x+2y+3z=12x + 2 y + 3 z = 12 x+y+z=5x + y + z = - 5 2x+2y+z=12 x + 2 y + z = 1\quad The inverse of [123111221]\left[ \begin{array} { l l l } 1 & 2 & 3 \\ 1 & 1 & 1 \\ 2 & 2 & 1 \end{array} \right] is [141152021]\left[ \begin{array} { r r r } - 1 & 4 & - 1 \\ 1 & - 5 & 2 \\ 0 & 2 & - 1 \end{array} \right]


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