# Find all possible values of det(A)

• Feb 19th 2010, 01:43 PM
DarK
Find all possible values of det(A)
Any help is appreciated!
• Feb 19th 2010, 02:40 PM
tonio
Quote:

Originally Posted by DarK
Any help is appreciated!

$I+A^2=0\Longrightarrow A^2=-I\Longrightarrow \det A^2=\det(-I)=1$ (why?), and since $\det A^2 = \left(\det A\right)^2$ then $\det A=$ ...

Tonio