Read the two statements and choose the correct option.

I. The area is half the absolute value of the determinant, because the determinant itself can be negative.

II. Listing the same three vertices in a different order changes the area.

Explanation

1. 01

   Swapping two vertices swaps two rows of the determinant, which changes only its sign, so the determinant can come out negative: I is true.

2. 02

   The absolute value removes that sign, so the area is the same in any order: II is false.