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Q.

If A=[3201] ,then(A−1)3 is equal to

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a

127[1−26027]

b

127[−1−26027]

c

127[1−260−27]

d

127[−1−260−27]

answer is A.

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Detailed Solution

|A|=|3201|=3−0≠0∴A−1exists Adj.A=[10−23]=[1−203]    ∴A−1=13[1−203]∴(A−1)3=127[1−213][1−203][1−203]=127[1−809][1−203] =127[1−26027]
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