Questions
Let A and B be two non-zero 3 × 3 matrices such that AB = O. Then
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a
Both A and B are non-singular
b
Exactly one of A, B is singular
c
Both A and B are singular
d
Both A + B and AB are singular
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Correct option is C
Suppose A is non-singular, thenA−1(AB)=A−1(O)⇒B=OA contradiction .∴ A is singularSimilarly, B is singular.Similar Questions
Let
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