Recent content by kockabogyo

  1. kockabogyo

    Utilizing Cayley-Hamilton's Theorem to Solve N x N Determinant Problem

    O Yeah!.. I think I found it.. Cayley Hamilton's context A2 - Tr(A)*A+det(A)*E = O
  2. kockabogyo

    Utilizing Cayley-Hamilton's Theorem to Solve N x N Determinant Problem

    Thanks, yes, sorry not - 2A only -A , but than?
  3. kockabogyo

    Utilizing Cayley-Hamilton's Theorem to Solve N x N Determinant Problem

    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