Question

Given an example of two matrices A and B such that

A ≠ O, B ≠ O, AB = O and BA ≠ O.

Answer 1

Given : A ≠ 0,B ≠ 0 ,AB = 0, BA ≠ 0

To Find : matrix A and B

Formula used :

Where c_ij = a_i1b_1j + a_i2b_2j + a_i3b_3j + ……………… + a_inb_nj

A ≠ 0,B ≠ 0

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