Find the Product, AB, If Possible A) $\left[ \begin{array} { r r } 12 & 0 \\ 0 & 12 \end{array} \right]$

question 100

Multiple Choice

Find the product, AB, if possible.
- $$A = \left[ \begin{array} { r r r } 3 & - 2 & 1 \\0 & 4 & - 3\end{array} \right] , B = \left[ \begin{array} { r r } 4 & 0 \\- 2 & 3\end{array} \right]$$

• A) \(\left[ \begin{array} { r r } 12 & 0 \\ 0 & 12 \end{array} \right]\)
• B) \(A B\) is not defined.
• C) \(\left[ \begin{array} { r r r } 12 & - 8 & 4 \\ - 6 & 16 & - 11 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r } 12 & - 6 \\ - 8 & 16 \\ 4 & - 11 \end{array} \right]\)

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Definitions:

Residual Value

The estimated amount that an asset will realize upon its disposal at the end of its useful life after deducting expected costs of disposal.

Annual Depreciation

The portion of the cost of a fixed asset that is expensed each year over its useful life as a way to allocate the cost over time.

Useful Life

The estimated period that an asset is expected to be usable for the purpose for which it was acquired, affecting its depreciation or amortization.

AASB 116

An Australian accounting standard that outlines the accounting treatment for property, plant, and equipment including recognition, depreciation, and impairment.