Chapter 16.5, Problem 4WE

To determine

To evaluate: the determinant $\left|\begin{array}{cc}15& 0\\ 0& 4\end{array}\right|$ .

Answer to Problem 4WE

  $\left|\begin{array}{cc}15& 0\\ 0& 4\end{array}\right|=60$

Explanation of Solution

Given:

A determinant as

  $\left|\begin{array}{cc}15& 0\\ 0& 4\end{array}\right|$

Calculation:

The determinant can be evaluated as,

  $\begin{array}{c}\left|\begin{array}{cc}15& 0\\ 0& 4\end{array}\right|=15\left(4\right)-\left(0\right)\left(0\right)\\ =60-0\\ =60\end{array}$