Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l l } 1 & - 1 & 3 \\1 & 0 & 5 \\2 & - 1 & 8\end{array} \right]$$

question 443

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l l } 1 & - 1 & 3 \\1 & 0 & 5 \\2 & - 1 & 8\end{array} \right]$$

• A)
• \[\left[ \begin{array} { l l l }
• 1 & 1 & 2 \\
• - 1 & 0 & - 1 \\
• 3 & 5 & 8
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { l l l }
• 1 & 0 & 5 \\
• 0 & 1 & 2 \\
• 0 & 0 & 0
• \end{array} \right]\]
• C) The inverse does not exist.
• D)
• \[\left[ \begin{array} { l l l }
• 1 & 0 & 5 \\
• 0 & 1 & 2 \\
• 0 & 2 & 0
• \end{array} \right]\]

---

Definitions:

Total Direct Labor Cost

The total expenses incurred from labor directly involved in the production of goods or services.

Per-unit Cost

The cost associated with producing or acquiring a single unit of a product or service.

Plant Superintendent

An individual responsible for overseeing all aspects of operations within a manufacturing plant or factory.

Salary

A fixed regular payment, typically paid monthly or biweekly to employees for their services, not dependent on hours worked.