Show That Matrix $A=\left[\begin{array}{crc}1 / 2 & 3 / 2 & -1 / 2 \\0 & 1 & 0 \\0 & -3 & 1\end{array}\right]$

question 38

Short Answer

Show that matrix $A=\left[\begin{array}{crc}1 / 2 & 3 / 2 & -1 / 2 \\0 & 1 & 0 \\0 & -3 & 1\end{array}\right]$ is the inverse of the matrix $B=\left[\begin{array}{lll}2 & 0 & 1 \\0 & 1 & 0 \\0 & 3 & 1\end{array}\right]$

---

Definitions:

Step-Down Method

A cost allocation method used in costing multiple service departments where the cost of one service department is allocated to others and subsequently to production departments.

Cost Allocation

The process of identifying, aggregating, and assigning costs to cost objects, such as departments, products, or services.

Service Department

A department that does not directly engage in operating activities; rather, it provides services or assistance to the operating departments.

Equivalent Unit

A measure used in cost accounting to express the amount of work done by an incomplete process on units of production in terms of fully completed units.