Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r } - 3 & 6 \\1 & - 2\end{array} \right]$$

question 413

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r } - 3 & 6 \\1 & - 2\end{array} \right]$$

• A)
• \[\left[ \begin{array} { c c }
• \frac { 1 } { 16 } & \frac { 3 } { 16 } \\
• \frac { 1 } { 8 } & \frac { 3 } { 8 }
• \end{array} \right]\]
• B) The inverse does not exist.
• C)
• \[\left[ \begin{array} { c c }
• \frac { 1 } { 8 } & \frac { 3 } { 8 } \\
• \frac { 1 } { 16 } & \frac { 3 } { 16 }
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r }
• \frac { 1 } { 8 } & - \frac { 3 } { 8 } \\
• - \frac { 1 } { 16 } & \frac { 3 } { 16 }
• \end{array} \right]\]

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Definitions:

Direct Materials

Raw materials that are directly incorporated into a finished product and can be directly assigned to the product.

Standard Costs

Predetermined cost estimates used to measure the cost performance of an operation, allowing for budgeting and variance analysis against actual costs.

Standard Price

A predetermined cost of a resource or product, used for budgeting and cost control purposes.

Standard Quantity

A predetermined amount of input that should be used in producing a unit of output.