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Let \(A\) and \(B\) be square matrices of order \(n\) satisfying \(AB=O\) where \(O\) is \(n \times n\) zero matrix. Then |
\(A=O\) or \(B=O\) \(A=0\) or \(B=0\) \(A\) and \(B\) both may be non zero None of the above |
\(A\) and \(B\) both may be non zero |
$A=\begin{bmatrix}1&0\\0&1\end{bmatrix},B=\begin{bmatrix}0&1\\1&0\end{bmatrix}$ $AB=\begin{bmatrix}1&0\\0&0\end{bmatrix}\begin{bmatrix}0&0\\1&0\end{bmatrix}$ $=\begin{bmatrix}0&0\\0&0\end{bmatrix}$ |
