For a 4×44 \times 44×4 matrix AAA with eigenvalues λ1=2,λ2=3,λ3=−1,λ4=1\lambda_1 = 2, \lambda_2 = 3, \lambda_3 = -1, \lambda_4 = 1λ1=2,λ2=3,λ3=−1,λ4=1, compute tr(A)\text{tr}(A)tr(A) and det(A)\det(A)det(A).
tr(A)=5,det(A)=−6\text{tr}(A) = 5, \det(A) = -6tr(A)=5,det(A)=−6
tr(A)=5,det(A)=6\text{tr}(A) = 5, \det(A) = 6tr(A)=5,det(A)=6
tr(A)=4,det(A)=6\text{tr}(A) = 4, \det(A) = 6tr(A)=4,det(A)=6