# Basic Maths Grand Test - Q3

$If A = \begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}$$And it is given A^2 = I, then$

A. $1 + \alpha ^ 2 + \beta \gamma = 0$

B. $1 - \alpha ^ 2 + \beta \gamma = 0$

C. $1 - \alpha ^ 2 - \beta \gamma = 0$

D. $1 + \alpha ^ 2 - \beta \gamma = 0$