Consider the following statements :

A. Two matrices are equal if they are of same order and their corresponding elements are equal.

B. A square matrix A is called a diagonal matrix if all its diagonal elements are zero.

C. For any matrix A, there exists a null matrix O of same order such that $A+O=O+A=A.$

D. If A is any matrix of order $m×n$ then $I_mA-A=AI_n.$ Where $I_r$ is $r×r$ identity matrix.

E. For any square matrix A. $A^3$ is obtained by taking cube of every element of A.

A and C only

The correct answer is Option (1) → A and C only

(A) Yes, two matrices are equal if they are of same order and all their corresponding elements are equal.

(C) The additive identity property in algebra, for any matrix A, 7 a null matrix O of same order such that $A+O=O+A=A$.