Find the determinant of the following matrix. A = -2 6 3 5

Question

asked Oct 27, 2022 112k views

1 Answer

Kroonwijk · Answer 1 · 2022-11-01T10:27:14+0000

Answer:

|A| = - 28

Explanation:

Given

$A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]$

Required

Determine the determinant

For a two by two matrix, A such that:

$A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

The determinant |A| is:

|A| = a * d - b * c

So, in

$A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]$

The determinant is:

|A| = -2 * 5 - 6 * 3

|A| = -10 - 18

|A| = - 28