30. Find the solution of this system as an ordered triple. \begin{cases} x + y + 2z = 19 \\ 3x + y + 2z = 31 \\ x + 3y + 2z = 25 \end{cases}
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The given system of equations can be written in matrix form as: \[ \begin{bmatrix} 1 & 1 & 2 \\ 3 & 1 & 2 \\ 1 & 3 & 2 \\ \end{bmatrix} \begin{bmatrix} x \\ y \\ z \\ \end{bmatrix} = \begin{bmatrix} 19 \\ 31 \\ 25 \\ \end{bmatrix} \] Show more…
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