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## Homework Statement

Find the determinant of:

|1 1|

|2 1|

The field is Z3.

## Homework Equations

The field is Z3, that is, to multiply two numbers, you first multiply then take the remainder of the division by 3.

## The Attempt at a Solution

I tried:

( 1 x 1 ) - ( 1 x 2 )

1 x 1 will be: 1x1 = 1 => then get the remainder of the division by 3 that is 1

1 x 2 will be: 1 x 2 = 2 => then get the remainder of the division by 3 that is 2

So, the determinant would be 1 - 2 = -1 => then get the remainder of the division by 3 that is -1

But the answer is 2