If A=[\table \alpha , 0 ; 1 , 1] and B=[\table 1 , 0 ; 2 , 1] such that A^2=B, then what is the value of \alpha ?

UPSC NDA I 2011 Mathematics Paper

Question : 89 of 120

Marks: +1, -0

If A=[

α	0
1	1

] and B=[

1	0
2	1

] such that A2=B, then what is the value of α ?

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α2	0
α+1	1

α2	0
α+1	1