Answer
$59$
Work Step by Step
Use the first row for expansion, from the given matrix, we have:
$|A|=-1((-2)(5)-(-3)(-1))-2((-3)(5)-(-3)(2))+4((-3)(-1)-(-2)(2))=-1(-13)-2(-9)+4(7)=59$
One can also generate some zeros before the expansion to simply the calculation.
