Answer:
- 3
Step-by-step explanation:
The determinant of a 2 × 2 matrix A = [tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right][/tex] is
det A = ad - bc
Given
[tex]\left[\begin{array}{ccc}-4&3\\-7&6\\\end{array}\right][/tex] , then
det A = (- 4 × 6) - (3 × - 7) = - 24 - (- 21) = - 24 + 21 = - 3
