Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { r r } 2 & - 3 \\ - 4 & 6 \end{array} \right]$

question 109

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $\left[ \begin{array} { r r } 2 & - 3 \\ - 4 & 6 \end{array} \right]$

• A) The inverse does not exist.
• B)\(\left[\begin{array}{c}
• \frac{1}{3}-\frac{1}{6} \\
• -\frac{2}{9} \quad \frac{1}{9}
• \end{array}\right]\)
• C)
• \[\left[ \begin{array} { l l }
• \frac { 2 } { 9 } & \frac { 1 } { 9 } \\
• \frac { 1 } { 3 } & \frac { 1 } { 6 }
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { l l }
• \frac { 1 } { 3 } & \frac { 1 } { 6 } \\
• \frac { 2 } { 9 } & \frac { 1 } { 9 }
• \end{array} \right]\]

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Definitions:

Straight-Line Method

A method of calculating depreciation or amortization by evenly spreading the cost of an asset over its useful life.

Scrap Value

The estimated resale value of an asset at the end of its useful life, also known as salvage value.

Units-Of-Production Method

An approach to depreciation that allocates the cost of an asset over its useful life based on its output or usage, rather than the passage of time.

Scrap Value

The estimated resale value of an asset after its useful life is over and it can no longer be used as intended.