Question

Consider the matrix shown below:

Answer 1

23

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*4)-(3*-1)\\\\=20-(-3)\\\\=20+3\\\\=23`

Hence, the determinat is 23