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 =