Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$$

question 202

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$$

• A)
• \[\left[ \begin{array} { l l l }
• - 1 & - 1 & - 1 \\
• - 2 & - 1 & - 1 \\
• - 2 & - 2 & - 3
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r }
• - 1 & 1 & 0 \\
• 4 & - 1 & - 1 \\
• - 2 & 0 & 1
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { c c c }
• 1 & 1 & 1 \\
• \frac { 1 } { 2 } & 1 & 1 \\
• \frac { 1 } { 2 } & \frac { 1 } { 2 } & \frac { 1 } { 3 }
• \end{array} \right]\]
• D) The inverse does not exist.

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