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Given an example of two matrices A and B such that

A ≠ O, B ≠ O, AB = O and BA ≠ O.

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

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