Chapter 16.6, Problem 1ST

To determine

To Find: The value of the determinant:

  $\left|\begin{array}{cc}3& 0\\ 5& -1\end{array}\right|$

Answer to Problem 1ST

-3

Explanation of Solution

Given: $\left|\begin{array}{cc}3& 0\\ 5& -1\end{array}\right|$

Formula Used: $\left|\begin{array}{cc}a& b\\ c& d\end{array}\right|=ad-cb$

Finding the determinant:

  $\left|\begin{array}{cc}3& 0\\ 5& -1\end{array}\right|=(3)(-1)-(5)(0)=-3-0=-3$

So, the value of given determinant is -3.