If for A= [ cc & & - ], A^2=I, then __________ . - Vidyadip

MCQ

If for $A=\left[\begin{array}{cc}\alpha & \beta \\ \gamma & -\alpha\end{array}\right], A^2=I$, then __________ .

A
$1+\alpha^2-\beta \gamma=0$
B
$1-\alpha^2+\beta \gamma=0$
✓
$1-\alpha^2-\beta \gamma=0$
D
$1+\alpha^2+\beta \gamma=0$

✓

Answer

Correct option: C.

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

C

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