## Precalculus (10th Edition)

$-29$
We know that for a matrix $\left[\begin{array}{rr} a & b \\ c &d \\ \end{array} \right]$ the determinant $D$ is given by the fomrula $D=ad-bc.$ Hence, the given matrix has $D=(-2\cdot7)-(5\cdot3)\\ D=-14-15\\ D=-29$