Use row reduction to find det(A)\det(A)det(A) for A=[213437224]A = \begin{bmatrix} 2 & 1 & 3 \\ 4 & 3 & 7 \\ 2 & 2 & 4 \end{bmatrix}A=242132374.
det(A)=0\det(A) = 0det(A)=0
det(A)=2\det(A) = 2det(A)=2
det(A)=−2\det(A) = -2det(A)=−2
det(A)=4\det(A) = 4det(A)=4