Which of the following is true for the characteristic polynomial p(λ)=det(λI−A)p(\lambda) = \det(\lambda I - A)p(λ)=det(λI−A)?
The coefficient of λn−1\lambda^{n-1}λn−1 is −tr(A)-\text{tr}(A)−tr(A)
The constant term is det(A)\det(A)det(A)
The degree is n−1n-1n−1
It is always symmetric