試題詳解

22. (3%) Which of the following statements is true?
(A) A square matrix with linearly independent column vectors is diagonalizable.
(B) If A and B are diagonalizable, so is AB.
(C) If A bc diagonalizable and AB = BA, then B is diagonalizable.
(D) If A is a 3 ✖3 matrix with distinct eigenvalues 0,1,2, then the matrix (A + I) must be invertible.