Find the Inverse of the Matrix $$\left[ \begin{array} { c c c } 2 & - 5 & 3 \\2 & - 4 & 8 \\4 & - 9 & 11\end{array} \right]$$

question 8

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { c c c } 2 & - 5 & 3 \\2 & - 4 & 8 \\4 & - 9 & 11\end{array} \right]$$

• A) \(\left[ \begin{array} { l l l } 1 & 0 & 14 \\ 0 & 1 & 5 \\ 0 & 0 & 0 \end{array} \right]\)
• B) No inverse
• C) \(\left[ \begin{array} { c c c } 1 & 0 & 14 \\ 0 & 1 & 5 \\ 0 & - 1 & 0 \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c } 2 & 2 & 4 \\ - 5 & - 4 & - 9 \\ 3 & 8 & 11 \end{array} \right]\)

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Definitions:

Impairment

Impairment occurs when the carrying amount of an asset exceeds its recoverable amount, leading to a reduction in the asset's value on the balance sheet.

Intangible Assets

Non-physical assets such as patents, copyrights, trademarks, software, and goodwill that have value to a business.

Goodwill

The excess value of the purchase price over the fair market value of the assets acquired and liabilities assumed in a business combination.

Recoverable Amount

The higher of an asset's fair value less costs to sell and its value in use. It's the estimated amount an entity can obtain from an asset's use or sale, covering its carrying amount.