If the matrix product AB = O,where O is the n | vedclass

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(D) The product of two non-zero matrices can result in a null matrix. For example,consider $A = \begin{bmatrix} 0 & 1 \ 0 & 0 \end{bmatrix}$ and $B =

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None of these

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(D) The product of two non-zero matrices can result in a null matrix. For example,consider $A = \begin{bmatrix} 0 & 1 \ 0 & 0 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 0 \ 0 & 0 \end{bmatrix}$.Calculating the product: $AB = \begin{bmatrix} 0 & 1 \ 0 & 0 \end{bmatrix} \begin{bmatrix} 1 & 0 \ 0 & 0 \end{bmatrix} = \begin{bmatrix} 0 & 0 \ 0 & 0 \end{bmatrix} = O$.Here,$A 
eq O$ and $B 
eq O$,yet $AB = O$.Therefore,none of the given statements ($A=O$ and $B=O$,$A=O$ or $B=O$,$A$ is null) are necessarily true.

If the matrix product $AB = O$,where $O$ is the null matrix,then which of the following is necessarily true?

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