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Question

If A is an invertible matrix of order 2, then A-1 is equal to?


A

A

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B

1A

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C

1

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D

0

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Solution

The correct option is B

1A


Explanation of correct answer:

Since,

AA-1=I

Now, taking determinant on both sides

AA-1=I

AA-1=I [AB=AB]

AA-1=1 [ I=1]

A-1=1A [A0]

Thus, A-1 is equal to 1A.

Hence, Option(B) is correct.


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