If [\table \\alpha,\\beta;\\gamma,-\\alpha] is to be the square root of two rowed unit matrix, then \\alpha,\\beta and \\gamma should satisfy the relation

Correct Answer is : 1−α2−βγ=0

Manipal Entrance Test 2016 Math Paper

Question : 19 of 70

Marks: +1, -0

If [

α	β
γ	−α

] is to be the square root of two rowed unit matrix, then α,β and γ should satisfy the relation

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α2+βγ	αβ−αβ
γα−γα	γβ+α2