Give an example of three matrices A, B, C such that AB = AC but B ≠ C.

Question

Philoid · Accepted Answer

Given : AB = AC and B ≠ C.

To Find : matrix A and B

Formula used :

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

Let A = , B = and C =

B ≠ C

AB = =

AB = = 0

AC = =

AC = = 0

AB = AC = 0

A = , B = and C =

Give an example of three matrices A, B, C such thatAB = AC but B ≠ C.