Find the Minor $M _ { 13 }$ And Its Cofactor $C _ { 13 }$

question 2

Multiple Choice

Find the minor $M _ { 13 }$ and its cofactor $C _ { 13 }$ of the matrix $\left[ \begin{array} { c c c } 9 & - 6 & 24 \\ - 9 & 6 & - 18 \\ 3 & - 9 & 18 \end{array} \right]$ .

• A)
• \(M _ { 13 } = \left| \begin{array} { l l } 9 & 24 \\ 3 & 18 \end{array} \right| = 90\)
• \(C _ { 13 } = - 90\)
• B) \(\quad M _ { 13 } = \left| \begin{array} { c c } - 6 & 24 \\ 6 & - 18 \end{array} \right| = - 36\)
• \(C _ { 13 } = - 36\)
• C)
• \(\begin{array}{l}
• M_{13}=\left|\begin{array}{cc}
• -9 & 6 \\
• 3 & -9
• \end{array}\right|=63 \\
• C_{13}=-63
• \end{array}\)
• D)
• \(M _ { 13 } = \left| \begin{array} { c c } - 6 & 24 \\ 6 & - 18 \end{array} \right| = - 36\)
• \(C _ { 13 } = 36\)
• E)
• \(M _ { 13 } = \left| \begin{array} { c c } - 9 & 6 \\ 3 & - 9 \end{array} \right| = 63\)
• \[C _ { 13 } = 63\]

---

Definitions:

Inventory Turnover

A ratio showing how many times a company's inventory is sold and replaced over a particular period, indicating the efficiency in managing stock.

Cost Of Goods Sold

Expenditures directly borne from manufacturing a company’s goods, including those for labor and materials.

Inflation

The rate at which the general level of prices for goods and services is rising, and subsequently, purchasing power is falling.

LIFO Method

Last-In, First-Out, an inventory valuation method where the most recently produced or acquired items are the first to be expensed.