Question

Find the determinant of the following matrix. A =-2 63 5​

Answer 1

Answer:

$|A| = - 28$

Step-by-step 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:

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

$|A| = -10 - 18$

$|A| = - 28$