If A is a square matrix of order 3 such ...

If A is a square matrix of order 3 such that `A^2 + A + 4I =0`, where `0` is the zero matrix and `I` is the unit matrix of order 3, then

A

A is singular and `A+I` is non-singular

B

A is non-singular and `A+I` is non-singular

C

A is non-singular and `A+I` is singular

D

A is singular and `A+I` is singular

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The correct Answer is:

B

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