Let A and B be two 2 \times 2 matrices. Consider the statements (i) A B=0 \Rightarrow A=0 or B=0 (ii) A B=I \Rightarrow A=B^{-1} (iii) (A+B)^2=A^2+2 A B+B^2. Then

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

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

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

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

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

CUSAT 2019 BTech Solved Paper

Question : 56 of 250

Marks: +1, -0

Let A and B be two 2×2 matrices. Consider the statements
(i) AB=0⇒A=0 or B=0
(ii) AB=I⇒A=B−1
(iii) (A+B)2=A2+2AB+B2. Then

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