If A and B are both 3 \times 3 matrices, then which of the following statements are true? (i) {\AB}=0 \Rightarrow {\A}=0 or {\B}=0 (ii) {\AB}= {\I}_3 \Rightarrow {\A}^{-1}= {\B} (iii) (A-B)^2=A^2-2 A B+B^2 [AP EAPCET 21 May 2025 S1]

Correct Answer is : (ii) is true and (i), (iii) are false

(i) is false and (ii), (iii) are true

(ii) is true and (i), (iii) are false

(i) and (ii) are true, (iii) is false

AP EAPCET 21 May 2025 Shift 1 Paper

Section: Mathematics

Question : 4 of 160

Marks: +1, -0

If A and B are both 3×3 matrices, then which of the following statements are true?
(i) AB=0⇒A=0 or B=0
(ii) AB=I3⇒A−1=B
(iii) (A−B)2=A2−2AB+B2

[AP EAPCET 21 May 2025 S1]

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