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Question

Let A=⎡⎢⎣00−10−10−100⎤⎥⎦. The only correct statement about the matrix A is

A
A is a zero matrix
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B
A=(1)I3
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C
A2=I
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D
A2=I
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Solution

The correct option is D A2=I
A=001010100
A2=001010100001010100=100010001
A2=I
Hence, option D.

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