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a
|AB|=0 ⇒ |B|=0
b
|AB|=0 ⇒ B=0
c
|A−1|= |A|−1
d
|A+A|=2|A|
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Correct option is A
For |AB|=0 ⇒ |A| . |B|=0 ⇒ |A|=0, |B|=0 AA−1=I ⇒ |A| . |A|−1=|I|=1 ⇒ |A−1|=1|A|=|A|−1
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