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Let A and B be two 2x2 matrices. Consider the statements
(i) `AB=0 => A= or B=0`
(ii) `AB=I_2 => A=B^-1`
(iii) `(A+B)^2=A^2+2AB+B^2` then
A. |
(i) is false, (ii) and (iii) are true |
B. |
(1) and (iii) are false, (ii) is true |
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C. |
(i) and (ii) are false, (iii) is true |
D. |
(ii) and (iii) are false, (i) is true |