A 3×33 \times 33×3 matrix has eigenvalues λ1=1\lambda_1 = 1λ1=1, λ2=2\lambda_2 = 2λ2=2, and λ3=−2\lambda_3 = -2λ3=−2. What is det(A)\det(A)det(A)?
−4-4−4
111
444
000