# Chapter 3 - Determinants - 3.2 Determinants and Elementary Operations - 3.2 Exercises - Page 118: 28

$$\left[ \begin{array}{ccc} 3&0&6\\ 2&-3&4\\1&-2&-2\end{array} \right]=0.$$

#### Work Step by Step

Given $$\left[ \begin{array}{ccc} 3&0&6\\ 2&-3&4\\1&-2&-2\end{array} \right].$$ Since the third column is the multiple of the first column by $2$, then we have $$\left[ \begin{array}{ccc} 3&0&6\\ 2&-3&4\\1&-2&-2\end{array} \right]=0.$$

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