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The Matrix $\left[\begin{array}{rrr}1 & 1 & -1 \\-3 & 2 & -1 \\3 & -3 & 2\end{array}\right]$

Question 111

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The matrix $\left[\begin{array}{rrr}1 & 1 & -1 \\-3 & 2 & -1 \\3 & -3 & 2\end{array}\right]$ is the inverse of $\left[\begin{array}{lll}1 & 1 & 1 \\3 & 5 & 4 \\3 & 6 & 5\end{array}\right]$

. Solve the following system by the inverse matrix method.
x+y+z=4
3 x+5 y+4 z=3
3 x+6 y+5 z=2

The Matrix [11−1−32−13−32]\left[\begin{array}{rrr}1 & 1 & -1 \\-3 & 2 & -1 \\3 & -3 & 2\end{array}\right]​1−33​12−3​−1−12​​

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The Matrix $\left[\begin{array}{rrr}1 & 1 & -1 \\-3 & 2 & -1 \\3 & -3 & 2\end{array}\right]$

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