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 237

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

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Definitions:

Overapplied Manufacturing Overhead

A situation where the allocated manufacturing overhead costs for a period exceed the actual overhead costs incurred.

Underapplied Manufacturing Overhead

A situation where the estimated manufacturing overhead cost is less than the actual overhead incurred during a period.

Finished Goods

Inventory that has been fully processed and is ready to be offered to purchasers.

Underapplied Manufacturing Overhead

Occurs when the allocated manufacturing overhead costs are less than the actual overhead costs incurred, leading to a shortfall that needs to be adjusted.