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Question

Let A, B be square matrix such that A B = 0 and B is non singular then

A
|A| must be zero but A may non zero
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B
A must be zero matrix
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C
nothing can be said in general about A
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D
none of these
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Solution

The correct option is B A must be zero matrix
A. B = 0 A. B . B1=0.B1
A . I = 0
A = 0

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