What is the determinant of the 3×33 \times 33×3 matrix AAA if its rows are v1⃗=(1,0,0)\vec{v_1}=(1,0,0)v1=(1,0,0), v2⃗=(0,1,0)\vec{v_2}=(0,1,0)v2=(0,1,0), and v3⃗=(1,1,1)\vec{v_3}=(1,1,1)v3=(1,1,1)?
000
111
−1-1−1
222