Given : A ≠ 0,B ≠ 0 ,AB = 0, BA ≠ 0
To Find : matrix A and B
Formula used :

Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj
A ≠ 0,B ≠ 0

BA = \(
\begin{bmatrix}
1&0 \\[0.3em]
0& 0 \\[0.3em]
\end{bmatrix}\) and B = \(
\begin{bmatrix}
0&0 \\[0.3em]
1& 0 \\[0.3em]
\end{bmatrix}\)