If AAA and BBB are 2×22 \times 22×2 matrices with det(A)=3\det(A) = 3det(A)=3 and det(B)=3\det(B) = 3det(B)=3, which statement is ALWAYS true?
det(A+B)=6\det(A + B) = 6det(A+B)=6
det(A+B)=9\det(A + B) = 9det(A+B)=9
det(A+B)=0\det(A + B) = 0det(A+B)=0
det(A+B)\det(A + B)det(A+B) has no guaranteed relationship to det(A)\det(A)det(A) and det(B)\det(B)det(B)