Let A be a 2×2 matrix. If tr(A) = 8 and det(A) = 12,the eigenvalues of A is .

Let A and B be two n × n matrices, they have thesame eigenvalues and n linear independent eigenvalues, then ( ). 未知类型：{'options': ['A is similar to B.', 'A [img=14x23]17de9331bc2f299.png[/img] B, but |A − B| = 0.', 'A = B.', 'A is not necessarily similar to B, but det(A)=det(B).'], 'type': 102}

Which of the following statement about Time-independent Schrödinger equation is not true? A: It is satisfied by a wave function that is an eigenfunction of the Hamiltonian of the system. B: Any solution of this equation corresponds to a physically acceptable state of the system. C: An eigenvalue may correspond to several linearly independent eigenfunctions. D: Energy levels represent eigenvalues of this equation.

Which of the following statement is false? A: If[img=77x23]1803b6aa763b00a.png[/img], where[img=77x23]1803b6aa7e8aab9.png[/img] and D is a diagonal matrix, then B is a symmetric matrix. B: An orthogonal matrix is orthogonally diagonalizable. C: An[img=44x19]1803b6aa8680eb5.png[/img]symmetric matrix has n real eigenvalues. D: An[img=44x19]1803b6aa8680eb5.png[/img]symmetric matrix hasnlinearly independent eigenvectors.