Question

Help !!

Answer 1

Let A and B in Mn(R) such that A.B=B.A and \[\det( A+B)\ge0\] .Show that if \[p \in \mathbb{N}*\] then \[\det(A ^{p}+B ^{p})\ge0\]

Answer 2

@eliassaab

Answer 3

I think It's clear here!