Matrix AAA has eigenvalues λ1=2\lambda_1=2λ1=2 and λ2=3\lambda_2=3λ2=3. What is det(A)\det(A)det(A) and tr(A)\text{tr}(A)tr(A)?
det(A)=6\det(A)=6det(A)=6, tr(A)=5\text{tr}(A)=5tr(A)=5
det(A)=5\det(A)=5det(A)=5, tr(A)=6\text{tr}(A)=6tr(A)=6
det(A)=6\det(A)=6det(A)=6, tr(A)=6\text{tr}(A)=6tr(A)=6
det(A)=2\det(A)=2det(A)=2, tr(A)=3\text{tr}(A)=3tr(A)=3