If a 3×33 \times 33×3 matrix AAA has eigenvalues λ1=2\lambda_1 = 2λ1=2, λ2=−3\lambda_2 = -3λ2=−3, and λ3=4\lambda_3 = 4λ3=4, what is det(A)\det(A)det(A)?
−24-24−24
333
999
−12-12−12