A 3×33 \times 33×3 matrix AAA has eigenvalues 2,2,2, 2,2,2, and 555. What are tr(A)\text{tr}(A)tr(A) and det(A)\det(A)det(A)?
tr(A)=4,det(A)=20\text{tr}(A) = 4, \det(A) = 20tr(A)=4,det(A)=20
tr(A)=9,det(A)=20\text{tr}(A) = 9, \det(A) = 20tr(A)=9,det(A)=20
tr(A)=9,det(A)=40\text{tr}(A) = 9, \det(A) = 40tr(A)=9,det(A)=40
tr(A)=20,det(A)=9\text{tr}(A) = 20, \det(A) = 9tr(A)=20,det(A)=9