Find an Explicit Description of the Null Space of Matrix $$A = \left[ \begin{array} { r r r r } 1 & - 2 & - 2 & - 2 \\0 & 1 & 3 & 4\end{array} \right]$$

question 41

Multiple Choice

Find an explicit description of the null space of matrix A by listing vectors that span the null space.
- $$A = \left[ \begin{array} { r r r r } 1 & - 2 & - 2 & - 2 \\0 & 1 & 3 & 4\end{array} \right]$$

• A)
• \(\left[ \begin{array} { r } - 4 \\ - 3 \\ 1 \\ 0 \end{array} \right] , \left[ \begin{array} { r } - 6 \\ - 4 \\ 0 \\ 1 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { l } 2 \\ 1 \\ 0 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 2 \\ - 3 \\ 1 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 2 \\ - 4 \\ 0 \\ 1 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { l } 2 \\ 1 \\ 0 \\ 0 \end{array} \right] , \left[ \begin{array} { r } - 4 \\ - 3 \\ 1 \\ 0 \end{array} \right] , \left[ \begin{array} { r } - 6 \\ - 4 \\ 0 \\ 1 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r } 2 \\ - 3 \\ 1 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 2 \\ - 4 \\ 0 \\ 1 \end{array} \right]\)

---

Definitions:

Work In Process Inventory

Work in process inventory includes items that are in the production process but not yet completed or ready for sale.

Transferred Out

In manufacturing and accounting, refers to goods or materials that have been moved from one process or department to another in the production process.

Weighted-Average Method

A cost-flow assumption used in inventory valuation and costing, calculating the cost of goods sold and ending inventory based on a weighted average of costs.

Equivalent Unit

A concept used in process costing that represents the amount of work done on incomplete units, expressed in terms of fully completed units.