Provide an Appropriate Response $\mathrm { P }$ Be A $3 \times 3$

Multiple Choice

Provide an appropriate response.
-Let $\mathrm { P }$ be a $3 \times 3$ matrix that has a multiplicative inverse. Which of the following statements are false? (Let 0 represent the $3 \times 3$ zero matrix.)
(i) $0 \cdot \mathrm { P } = 0$
(ii) $\mathrm { PP } - 1 = 0$
(iii) $\mathrm { P } ^ { - 1 } \mathrm { P } = \mathrm { I } _ { 3 }$
(iv) $\mathrm { PP } ^ { - 1 } = \mathrm { P }$

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