Given det(1234)=−2\det \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} = -2det(1324)=−2, what is det(123+k4+2k)\det \begin{pmatrix} 1 & 2 \\ 3+k & 4+2k \end{pmatrix}det(13+k24+2k)?
−2-2−2
−2+k-2 + k−2+k
−2+2k-2 + 2k−2+2k
000