Let A be an n n -th order square matrix with complex entries. Which of the following statements are true?
(a) A is always similar to a diagonal matrix.
is always similar to an upper-triangular matrix.
(c) A is similar to a block diagonal matrix, with each diagonal block of size strictly less than n n , provided A
has at least 2
distinct eigenvalues B) is true as over complex characteristic polynomial of A is reducible in to linear factor A) is false in case of non zero nilpotent matrix..but I'm confused with option c.please help