A 3×33 \times 33×3 matrix has eigenvalues λ1=1,λ2=4,λ3=−2\lambda_1 = 1, \lambda_2 = 4, \lambda_3 = -2λ1=1,λ2=4,λ3=−2. What is det(A)\text{det}(A)det(A)?
−8-8−8
333
888
−2-2−2