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)

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Definitions:

Compounded Monthly

Interest on a loan or investment calculated monthly and added to the principal sum for the calculation of subsequent interest.

Compounded Annually

Interest calculation and accumulation once per year on the principal amount of an investment or loan.

Compounded Quarterly

Interest calculated four times a year, applying on the original principal and including interest accumulated in previous periods.

Quarterly Payments

Quarterly payments are those made four times a year, often used in the context of financial arrangements like loans, leases, and investment dividends.