1. The problem statement, all variables and given/known data alright, so i have a question which asks me to find the eigenvalues of a 3x3 square matrix A. after working on it for a long time, i cant figure it out, i know the process of it and i can do 2x2 matrices easily, i cannot figure this one out though. here is the matrix A; 2 0 0 1 2 -1 1 3 -2 2. Relevant equations (Ix-A) 3. The attempt at a solution ive gotten this so far, using the above equation x-2 0 0 -1 x-2 1 -1 -3 x+2 i know i have to take the determinant of the above, and im pretty sure im doing something wrong with getting the determinant, but i cant figure it out. ((x^3-2x^2-4x+8)+0+0)) - (0+(-3x+6)+0)) = (x^3-2x^2-4x+8)-(-3x+6) = x^3-2x^2-7x+2 from this i know i have to find the roots, which will give me my eigenvalues. can someone help me, mabey point out my mistakes?