Let AAA be a 3×33 \times 33×3 matrix. What is the effect on det(A)\det(A)det(A) if we replace row 1 with Row1+2Row2Row1 + 2Row2Row1+2Row2?
The determinant is doubled
The determinant remains unchanged
The determinant becomes 2det(A)2 \det(A)2det(A)
The determinant is halved