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Let A and B be two 2 xx 2 matrices. Cons...

Let A and B be two `2 xx 2` matrices. Consider the statements (i) `AB=OrArrA=OorB=O` (ii) `AB = I_(2) rArr A = B^(-1)` (iii) `(A + B)^(2) = A^(2) + 2AB + B^(2)` a)(i) and (ii) are false, (iii) is true b)(ii) and (iii) are false, (i) is true c)(i) is false, (ii) and (iii) are true d)(i) and (iii) are false, (ii) is true

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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