If AAA is a 3×33 \times 33×3 matrix and BBB is obtained by multiplying one row by kkk, what is det(B)\det(B)det(B)?
kdet(A)k \det(A)kdet(A)
k3det(A)k^3 \det(A)k3det(A)
det(A)+k\det(A) + kdet(A)+k
det(A)\det(A)det(A)