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Problem
Problem
If
[
α
β
γ
−
α
]
\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}
[
α
γ
β
−
α
]
is to be the square root of two rowed unit matrix, then
α
,
β
\alpha, \beta
α
,
β
and
γ
\gamma
γ
should satisfy the relation a.
1
−
α
2
+
β
γ
=
0
1 - \alpha^2 + \beta\gamma = 0
1
−
α
2
+
β
γ
=
0
b.
α
2
+
β
γ
−
1
=
0
\alpha^2 + \beta\gamma - 1 = 0
α
2
+
β
γ
−
1
=
0
c.
1
+
α
2
+
β
γ
=
0
1 + \alpha^2 + \beta\gamma = 0
1
+
α
2
+
β
γ
=
0
d.
1
−
α
2
−
β
γ
=
0
1 - \alpha^2 - \beta\gamma = 0
1
−
α
2
−
β
γ
=
0
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