I am currently studying for a test, and I understand how to solve determinants when given concrete values. However, I have no idea how to solve this practice problem. Can someone lead me in the right direction to the solution?
Given
$det\begin{bmatrix}a & b & ... & c\\d & e & ... & f\\... & ... & ... & ...\\g & h & ... & i\end{bmatrix} = K$
Find the $det\begin{bmatrix}a & b & ... & c\\3d+a & 3e+b & ... & 3f+c\\... & ... & ... & ...\\g-d & h-e & ... & i-f\end{bmatrix}$