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(C) For matrices,the property $AB = O$ does not necessarily imply that $A = O$ or $B = O$. For example,consider $A = \begin{bmatrix} 0 & 1 \ 0 & 0 \e

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$AB = O$ implies $A = O$ or $B = O$

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(C) For matrices,the property $AB = O$ does not necessarily imply that $A = O$ or $B = O$. For example,consider $A = \begin{bmatrix} 0 & 1 \ 0 & 0 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 0 \ 0 & 0 \end{bmatrix}$. Then $AB = \begin{bmatrix} 0 & 1 \ 0 & 0 \end{bmatrix} \begin{bmatrix} 1 & 0 \ 0 & 0 \end{bmatrix} = \begin{bmatrix} 0 & 0 \ 0 & 0 \end{bmatrix} = O$. However,$A 
eq O$ and $B 
eq O$. Therefore,the statement in option $C$ is not true.

Assuming that the sums and products given below are defined,which of the following is not true for matrices?

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