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Question

If A=2-1-12 and I is the unit matrix of order 2, then A2 equals


A

4A3I

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B

3A-4I

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C

A-I

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D

A+I

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Solution

The correct option is A

4A3I


Calculate the value of A2:

Given A=2-1-12

A2=2-1-122-1-12A2=5-4-45..........(i)

Now find 4A3I

4A3I=42-1-12-310014A3I=8-4-48-30034A3I=5-4-454A3I=A2(from(i))

Hence, the correct option is (A).


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