Evaluate the Determinant of the Given Matrix and State Whether $$A = \left[ \begin{array} { r r r r } 1 & 2 & 0 & 4 \\0 & 3 & - 1 & 3 \\2 & 1 & 0 & 4 \\- 4 & 0 & 4 & 0\end{array} \right]$$

question 133

Multiple Choice

Evaluate the determinant of the given matrix and state whether the matrix is invertible.
- $$A = \left[ \begin{array} { r r r r } 1 & 2 & 0 & 4 \\0 & 3 & - 1 & 3 \\2 & 1 & 0 & 4 \\- 4 & 0 & 4 & 0\end{array} \right]$$

• A) \(- 228\); Yes
• B) \(- 4\); Yes
• C) \(0 ; \mathrm { No }\)
• D) \(- 68 ; \mathrm { No }\)

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Definitions:

Salvage Value

The estimated resale value of an asset at the end of its useful life, considered in depreciation calculations.

Straight-Line Depreciation

A method of allocating the cost of a tangible asset over its useful life in equal annual amounts, representing the asset's expense.

Capital Lease

A lease agreement that is considered a purchase of the asset for accounting purposes because it transfers substantially all risks and rewards of ownership to the lessee.

Ordinary Gain

A profit resulting from business operations or the sale of assets, excluding extraordinary items and discontinued operations.