Could someone help me solve this: Give an example of matrices, #A#, #B#, #C# such that #B != C#, #A != 0#, and yet #AB = AC#?
1 Answer
Feb 26, 2018
Here's an example...
Explanation:
A simple example can be provided by making:
#A=((1, 0), (0, 0))#
#B=((1, 0), (0, 1))#
#C=((1, 0), (0, 2))#
Then:
#A != 0#
#B != C#
#AB = ((1, 0), (0, 0))((1, 0), (0, 1)) = ((1, 0), (0, 0)) = ((1, 0), (0, 0))((1, 0), (0, 2)) = AC#
