Chapter 16.5, Problem 6OE

To determine

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

Answer to Problem 6OE

  $\left|\begin{array}{cc}2& 0\\ 0& 2\end{array}\right|+\left|\begin{array}{cc}0& 1\\ -1& 0\end{array}\right|=5$

Explanation of Solution

Given:

An expression as

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

Calculation:

The expression can be evaluated as,

  $\begin{array}{c}\left|\begin{array}{cc}2& 0\\ 0& 2\end{array}\right|+\left|\begin{array}{cc}0& 1\\ -1& 0\end{array}\right|=2\left(2\right)-\left(0\right)\left(0\right)+\left(0\right)\left(0\right)-1\left(-1\right)\\ =4-0+0+1\\ =4+1\\ =5\end{array}$