Let A and B be two non-zero 3 × 3 matrices such that AB = O. Then

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Both A and B are non-singular

Exactly one of A, B is singular

Both A and B are singular

Both A + B and AB are singular

answer is C.

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Detailed Solution

Suppose A is non-singular, thenA−1(AB)=A−1(O)⇒B=OA contradiction .∴ A is singularSimilarly, B is singular.

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