Chapter 16.5, Problem 1OE

To determine

To evaluate: the determinant $\left|\begin{array}{cc}2& 0\\ 0& 1\end{array}\right|$ .

Answer to Problem 1OE

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

Explanation of Solution

Given:

A determinant as

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

Calculation:

The determinant can be evaluated as,

  $\begin{array}{l}\left|\begin{array}{cc}2& 0\\ 0& 1\end{array}\right|=2\left(1\right)-0\left(0\right)\\ =2-0\\ =2\end{array}$