Solve the Problem $A = \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ 0 & 1 & 1 \\ - 1 & 0 & 1 \end{array} \right]$

question 323

Multiple Choice

Solve the problem.
-Given $A = \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ 0 & 1 & 1 \\ - 1 & 0 & 1 \end{array} \right]$ and $B = \left[ \begin{array} { r r r } - 1 & - 1 & 0 \\ 0 & 1 & 0 \\ - 1 & 1 & 0 \end{array} \right]$ , find $A B$ and $B A$ .

• A)
• \(\mathrm { AB } = \left[ \begin{array} { r r r } 0 & 1 & 0 \\ - 1 & 0 & 0 \\ 0 & 2 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { c r c } 0 & 2 & 1 \\ 0 & - 1 & - 1 \\ 0 & 0 & - 1 \end{array} \right]\)
• B)
• \(\mathrm { AB } = \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ - 1 & 2 & 0 \\ 0 & 2 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { l l l } 0 & 0 & - 1 \\ 0 & 1 & 1 \\ 0 & 2 & 1 \end{array} \right]\)
• C)
• \(\mathrm { AB } = \left[ \begin{array} { l l l } 0 & 1 & 0 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { l l l } 0 & 1 & 0 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{array} \right]\)
• D)
• \(\mathrm { AB } = \left[ \begin{array} { l l l } 0 & 0 & - 1 \\ 0 & 1 & 1 \\ 0 & 2 & 1 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ - 1 & 2 & 0 \\ 0 & 2 & 0 \end{array} \right]\)

Understand the purpose and components of a departmental accounting system.

Distinguish between cost centers and profit centers and their impact on organizational structure and performance evaluation.

Explain the concept of a responsibility accounting system and its role in organizational accountability and performance measurement.

Understand the operational distinctions between periodic and perpetual inventory systems.

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Definitions:

Federal Energy Regulatory Commission

A U.S. federal agency that regulates the interstate transmission of electricity, natural gas, and oil.

Sherman Act

A landmark federal statute in the United States antitrust law passed by Congress in 1890 to prohibit monopolies and other activities that restrict competition.

Clayton Act

A U.S. antitrust law enacted in 1914, aimed at prohibiting specific business activities that lessen competition, such as price discrimination, exclusive dealings, and mergers that significantly reduce market competition.

Competitive Firms

Businesses that operate in markets where there are many buyers and sellers, and no single entity can control the price.