Hi,

I have this question and I am not sure how to tackle it:

Construct an infinite number of examples that demonstrate (A+B)^-1 = A^-1 + B^-1 is not true for all square matrices A and B of the same size.

So I am aware from the Linear Algebra unit we have been doing that if A or B are not invertible then their inverse does not exist but I am unsure how to use this to construct an infinite number of examples. Any help would be greatly appreciated! Thanks in advance