Given an example of two matrices A and B such that

A ≠ O, B ≠ O, AB = O and BA ≠ O.


Given : A ≠ 0,B ≠ 0 ,AB = 0, BA ≠ 0


To Find : matrix A and B


Formula used :



Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj


Let A = and B =


A ≠ 0,B ≠ 0


AB = = =


AB = = 0


BA = = =


BA =


A = and B =


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