複選題23. Let A ∈ and x ∈ . Which of the following statements are true?(A) If A is singular, then O is an eigenvalue of A.(B) A and share the same eigenvalues and eigenvectors.(C) If A is diagonalizable, then A has n distinct eigenvalues.(D) Suppose that A is nonsingular. The condition Ax = λx implies .(E) Suppose that all the eigenvalues of A are real and positive. Then we have ＞ 0.