A 2×22 \times 22×2 matrix AAA has eigenvalues λ1=3\lambda_1 = 3λ1=3 and λ2=−1\lambda_2 = -1λ2=−1. What is det(A)\det(A)det(A) and tr(A)\text{tr}(A)tr(A)?
det(A)=−3,tr(A)=2\det(A) = -3, \text{tr}(A) = 2det(A)=−3,tr(A)=2
det(A)=−3,tr(A)=−2\det(A) = -3, \text{tr}(A) = -2det(A)=−3,tr(A)=−2
det(A)=3,tr(A)=2\det(A) = 3, \text{tr}(A) = 2det(A)=3,tr(A)=2
det(A)=2,tr(A)=−3\det(A) = 2, \text{tr}(A) = -3det(A)=2,tr(A)=−3