Appeared in: 2026 (2 sets)
If $A$ and $B$ are square matrices of same order, then which of the following statements is/are always true ?
(i) $(A + B) (A - B) = A^2 - B^2$
(ii) $AB = BA$
(iii) $(A + B)^2 = A^2 + AB + BA + B^2$
(iv) $AB = 0 \Rightarrow A = 0$ or $B = 0$
(A) Only (i) and (iii)
(B) Only (ii) and (iii)
(C) Only (iii)
(D) Only (iii) and (iv)