माना $$X=\left[\begin{array}{lll} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0 \end{array}\right], Y=\alpha I+\beta X+\gamma X^{2}$$ तथा $$Z=\alpha^{2} I-\alpha \beta X+\left(\beta^{2}-\alpha \gamma\right) X^{2}, \alpha, \beta, \gamma \in \mathbb{R}$$ हैं। यदि $$Y^{-1}=\left[\begin{array}{ccc} 1 / 5 & -2 / 5 & 1 / 5 \\ 0 & 1 / 5 & -2 / 5 \\ 0 & 0 & 1 / 5 \end{array}\right]$$ है, तो $$(\alpha-\beta+\gamma)^{2}$$ बराबर है ______________ |