I've stumbled upon this problem while I was browsing through the contents of an admission exam . I've struggled tremendously with this exercise and I've got no idea what do to next , it's eating me alive !
My attempt : I've tried to determine a pattern by induction for A and B to the (2k+1) , but got no result . I've also tried breaking both matrices into sums of identity matrix and another complementary matrix , so I could use the binomial theorem but got nothing once more .
Can someone please find a solution ? I'd be really thankful , thanks a lot !