Solution
= Solution
Scaling the whole <matrix> scales all $n$ rows. The <multilinearity> of the <determinant> therefore gives
$$
\boxed{\det(cA)=c^n\det A.}
$$
This includes $c=0$ for $n\ge1$.
= Solution
Scaling the whole <matrix> scales all $n$ rows. The <multilinearity> of the <determinant> therefore gives
$$
\boxed{\det(cA)=c^n\det A.}
$$
This includes $c=0$ for $n\ge1$.