find non zero matrices A,B and C such that AC=BC and A is not equal to B find non zero matrices A,B and C such that AC=BC and A is not equal to B @Mathematics

Question

perl · Answer

hmmm

perl · Answer

so we know at least that C cannot be invertible because if C was invertible we could do 
A*C*C^-1 = B*C*C^-1 
and then
A = B

anonymous · Answer

please explain by taking any example

anonymous · Answer

try 
$$C=
 \begin{matrix}
  1& 1  \
  1 & 1  \
  
 \end{matrix}
$$

zarkon · Answer

didn't I already answer this question

anonymous · Answer

oh i didn't see it

zarkon · Answer

http://openstudy.com/users/zarkon#/users/zarkon/updates/4ea572abe4b09b578439c2e6

anonymous · Answer

yes u have already told me zarkon but u do not tell me how A and B matrices are taken with what limitations and i want to clear that.

perl · Answer

determinant of C is zero