If the matrix AB is zero, then

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KollegeApply · Accepted Answer

It is not necessary that either A = O or, B = O 	ext{Let A}= \begin{bmatrix}0 & 2 \ 0 & 0\end{bmatrix} 	ext{and B}= \begin{bmatrix}1 & 0 \ 0 & 0\end{bmatrix} 	herefore AB = \begin{bmatrix}0 & 2 \ 0 & 0\end{bmatrix}\begin{bmatrix}1 & 0 \ 0 & 0\end{bmatrix} = \begin{bmatrix}0 & 0 \ 0 & 0\end{bmatrix}

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