Write the Word or Phrase That Best Completes Each Statement $\mathrm { P }$

question 357

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Let $\mathrm { P }$ be a $2 \times 2$ matrix that has a multiplicative inverse. Which of the following statements are false? (Let 0 represent the $2 \times 2$ zero matrix.)
(i) $0 \cdot \mathrm { P } = 0$
(ii) $\mathrm { PP } ^ { - 1 } = 0$
(iii) $\mathrm { P } ^ { - 1 } \mathrm { P } = \mathrm { I } _ { 2 }$
(iv) $\mathrm { PP } ^ { - 1 } = \mathrm { P }$

• A) (i), (iii)
• B) (iv)
• C) (ii)
• D) (ii), (iv)

---

Definitions:

Profit Center

A profit center is a branch or division of a company that is treated as a separate unit for the purpose of assessing its revenue-generating ability and profitability.

Department Manager

A professional who oversees the operations and employees of a specific department within a company, ensuring goals and objectives are met.

Authority

The authority or capacity to command, make choices, and ensure compliance.

Responsibility Accounting Reports

Financial reports that measure the financial performance of different segments or departments of an organization, attributing revenues and expenses to the managers responsible.