Chapter 16.5, Problem 8OE

To determine

To evaluate: theexpression $\left|\begin{array}{cc}3& 0\\ 0& 2\end{array}\right|÷\left|\begin{array}{cc}1& 0\\ 0& 2\end{array}\right|$ .

Answer to Problem 8OE

  $\left|\begin{array}{cc}3& 0\\ 0& 2\end{array}\right|÷\left|\begin{array}{cc}1& 0\\ 0& 2\end{array}\right|=3$

Explanation of Solution

Given:

An expression as

  $\left|\begin{array}{cc}3& 0\\ 0& 2\end{array}\right|÷\left|\begin{array}{cc}1& 0\\ 0& 2\end{array}\right|$

Calculation:

The expression can be evaluated as,

  $\begin{array}{c}\left|\begin{array}{cc}3& 0\\ 0& 2\end{array}\right|÷\left|\begin{array}{cc}1& 0\\ 0& 2\end{array}\right|=\frac{3\left(2\right)-\left(0\right)\left(0\right)}{1\left(2\right)-\left(0\right)\left(0\right)}\\ =\frac{6-0}{2-0}\\ =\frac{6}{2}\\ =3\end{array}$