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

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

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

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

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

Let A and B be two \[2\times 2\] matrices, Consider the statements (i)

1.	Let A and B be two \[2\times 2\] matrices, Consider the statements (i) \[AB=O\Rightarrow A=O\] or \[B=0\] (ii) \[AB={{I}_{2}}\Rightarrow A={{B}^{-1}}\] (iii) \[{{(A+B)}^{2}}\]=\[{{A}^{2}}+2AB+{{B}^{2}}\] Then
A.	(i) and (ii) are false, (iii) is true
B.	(ii) and (iii) are falsse, (i) is true
C.	(i) is false, (ii) and (iii) are true
D.	(i) and (iii) are false, (ii) is true
Answer» E.

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

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