If AAA is a 2×22 \times 22×2 matrix with tr(A)=0\text{tr}(A) = 0tr(A)=0 and det(A)=−1\det(A) = -1det(A)=−1, what are the eigenvalues?
1,−11, -11,−1
i,−ii, -ii,−i
0,00, 00,0
1,11, 11,1