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Question

Let A and B be two square matrices of order 3 and AB=O3, where O3 denotes the null matrix of order 3. Then,

A
must be A=O3,B=O3
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B
if AO3, must be BO3
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C
if A=O3, must be BO3
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D
may be AO3,BO3
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Solution

The correct option is D may be AO3,BO3
Let A=100000000 and
B=000000001

Here AB=O3 but neither A is null matrix nor B.


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