Find the Inverse of the Matrix $$\left[ \begin{array} { r r r } 1 & 0 & 0 \\1 & 1 & 0 \\0 & - 9 & 1\end{array} \right]$$

question 122

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r r } 1 & 0 & 0 \\1 & 1 & 0 \\0 & - 9 & 1\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r } 1 & - 9 & 9 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } 1 & 0 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & - 9 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r } 1 & 0 & 0 \\ - 1 & 1 & 0 \\ - 9 & 9 & 1 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r } 1 & 0 & 0 \\ - 9 & - 1 & 0 \\ 9 & 1 & 1 \end{array} \right]\)

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Definitions:

LIFO

Last-In, First-Out, an inventory valuation method where the most recently produced items are sold first.

Computed Amounts

Quantitative values determined through calculations or algorithms, often used in financial statements and analyses.

Periodic Inventory System

An inventory accounting system where updates to inventory levels are made on a periodic basis, rather than continuously.

Perpetual Inventory System

An inventory management system where updates are made continuously as transactions occur, maintaining real-time inventory levels.