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Let P and Q be two 2xx2 matrices. Consid...

Let P and Q be two `2xx2` matrices. Consider the statements
(i)`PQ=OimpliesO` or `Q=O` or both
(ii) `PQ=I_(2)impliesP=Q^(-1)`
(iii) `(P+Q)^(2)=P^(2)+2PQ+Q^(2)`. Then

A

(i) and (ii) are false (iii) is true

B

(i) and (iii) are false (ii) is true

C

All are false

D

All are true

Text Solution

Verified by Experts

The correct Answer is:
B
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