# Math Help - Could you verify? F3-Field

1. ## Could you verify? F3-Field

Hi,

could you verify my solution? I want the determinant of the following and I got 0 wich I wouldn't expect. Dou you get this to?

$A \in M_{4}(\mathbb{F}_{3})$

$A = \begin{pmatrix} 0 & 1 & 1 & 2 \\ 2 & 0 & 1 & 1 \\ 2 & 2 & 0 & 1 \\ 1 & 2 & 2 & 0 \end{pmatrix}$

$det(A)=0$ in my solution

thanks
greetings

2. my calculator says ...

$\det(A) = -23$

3. Originally Posted by skeeter
my calculator says ...

$\det(A) = -23$
If we are in $\mathbb{Q}$ or $\mathbb{R}$ yes, but the field is $\mathbb{F}_{3}$ and $-23 \notin \mathbb{F}_{3}$

But anyway thanks

4. Originally Posted by Herbststurm
yes, but the field is $\mathbb{F}_{3}$ and $-23 \notin \mathbb{F}_{3}$
So what? Just read -23 modulo 3