Question

Consider the matrix shown below:

Answer 1

Answer:

23

Step-by-step explanation:

The determinant of a matrix in the form $\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]$ is obtained by subtracting  the product of cd from the product of ad.

Now given the matrix

$\left[\begin{array}{ccc}5&-1\\3&4\\\end{array}\right]$ the determinant is calculated as :

$[A]=(5\times4)-(3\times-1)\\\\=20-(-3)\\\\=20+3\\\\=23$

Hence, the determinat is 23