1. Given A,B\in Mat _n(\mathbb{R})
2. Show that:
a) \det (A^2 + A + E)\geq 0
b) \det (E+A+B+A^2+B^2)\geq 0 ,
where E is the unit matrix.3. My attempt at a solution
A^2 + A + E=(A + E)^2 -2A
https://drive.google.com/file/d/0B8zKPTh1siSsOHNWQnBfaXR3QXM/view?usp=sharing
pleas give me tips to solve