Q 235 - Intermediate Algebra

Question

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

$\left[\begin{array}{cc}-2& 0\\ 7& -5\end{array}\right]$

Step-by-Step Solution

Answer

The value of the determinant is $10.$

Step 1. Given information

The given square matrix is

$\left[\begin{array}{cc}-2& 0\\ 7& -5\end{array}\right]$

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

$$\begin{gathered} =(-2)(-5)-\left(7\right)\left(0\right) \\ =\left(10\right)-\left(0\right) \\ =10 \end{gathered}$$