Answer
-29
Work Step by Step
For a matrix with the following components,
[$a_{1}$ $b_{1}$
$a_{2}$ $b_{2}$],
we know that the determinant is calculated as $a_{1}b_{2}-a_{2}b_{1}$.
Therefore, the determinant for the given matrix is equal to $(-4)(6)-(5)(1)=-24-5=-29$.
