a matrix a is diagonalizable if a has n eigenvectors. a. the statement is false. a matrix is diagonalizable if and only if it has n1 linearly independent eigenvectors. b. the statement is false. a diagonalizable matrix must have n linearly independent eigenvectors. c. the statement is true. a diagonalizable matrix must have more than one linearly independent eigenvector. d. the statement is true. a diagonalizable matrix must have a minimum of n linearly independent eigenvectors.