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Linear Algebra

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Moderate

Possible Values of $det(A)$

LINALG-TKENJB

If $A$ is an $n\times n$ matrix and $A^3=A$ then the possible values of $\det(A)$ are:

A

$2,8,-2,-8$

B

$0,1,-1$

C

$1,-1$ only

D

Dependent on the value of $n$