A−λIn) = (λ1−λ)(λ2−λ)(λn−λ), we conclude that the product of theeigenvalues is equal to the constant term of the characteristic polynomial.True. Since det(A−λ2In) = (λ1−λ2)(λ2−λ2)(λn−λ2), we conclude that the product ofthe eigenvalues is equal to the constant term of the characteristic polynomial.False. Since det(A−λ2In) = (λ1−λ2)(λ2−λ2)(λn−λ2), we conclude that the product ofthe eigenvalues is equal to the leading coefficient of the characteristic polynomial.False. Since det(A−λIn) = (λ1−λ)(λ2−λ)(λn−λ), we conclude that the product of theeigenvalues is equal to the leading coefficient of the characteristic polynomial.False. Consider.1001