Q 234 - Intermediate Algebra

Question

In the following exercises, evaluate the determinate of each square matrix. 

$\left[\begin{array}{cc}-3& 5\\ 0& -4\end{array}\right]$

Step-by-Step Solution

Answer

The value of the determinant is $12.$

Step 1. Given information

The given square matrix is  

$\left[\begin{array}{cc}-3& 5\\ 0& -4\end{array}\right]$

We have to evaluate the determinate of a given square matrix.  

Step 2. To find the determinant, multiply the diagonals of the matrix and then subtract them.

The determinant of the matrix is

$$\begin{gathered} =(-3)(-4)-\left(0\right)\left(5\right) \\ =\left(12\right)-0 \\ =12 \end{gathered}$$