1.Let A=(1000αβ0βα)A = \begin{pmatrix} 1 & 0 & 0 \\ 0 & \alpha & \beta \\ 0 & \beta & \alpha \end{pmatrix}A=1000αβ0βα and A−1=(1000αγ0γα)A^{-1} = \begin{pmatrix} 1 & 0 & 0 \\ 0 & \alpha & \gamma \\ 0 & \gamma & \alpha \end{pmatrix}A−1=1000αγ0γα where α,β,γ∈Z\alpha, \beta, \gamma \in \mathbb{Z}α,β,γ∈Z. Then a value of α\alphaα is:a.333b.555c.171717d.999Login to continueOnly logged in users canattempt or see the solution.
