Chapter 4.3, Problem 13E

In Exercise 13-18, assume that the $\left(3\times 3\right)$ matrix A satisfies $\det \left(A\right)=2$ where A is given by, $A=\left[\begin{array}{ccc}a& b& c\\ d& e& f\\ g& h& i\end{array}\right]$

Calculate $\det \left(B\right)$ in each case.

$B=\left[\begin{array}{ccc}a& b& 3c\\ d& e& 3f\\ g& h& 3i\end{array}\right]$