Which of the following statements are correct ?

(A) Determinant is a square matrix
(B) Determinant of a matrix of order $3 \times 3$ is $a_{11} c_{11}+a_{12} c_{21}+a_{13} c_{31} (a_{i j}$ = element, $c_{i j}$ = cofactor)
(C) Determinant is a number associated with a matrix
(D) Determinant is a number associated with a square matrix
(E) Determinant of a matrix of order $3 \times 3$ is $a_{11} c_{11}+a_{12} c_{12}+a_{13} c_{13}$, where $a_{i j}$ is the element, while $c_{i j}$ is its corresponding cofactor

Choose the correct answer from the options given below:

(D) and (E) Only

The correct answer is Option (2) → (D) and (E) Only

(A) False, determinant is not a matrix

(B) False, determinant = $a_{11}c_{11}+a_{12}c_{12}+a_{13}c_{13}$

(C) False

(D) True

(E) True