Would appreciate if someone could help. Thank you

Answer:
[tex]-\frac{75}{4}[/tex]
Step-by-step explanation:
Determine the determinant
[tex]\frac{9}{2}*(-\frac{9}{2})-(-1)*\frac{3}{2}[/tex]
Multiply / Remove parentheses
[tex]-\frac{81}{4} +\frac{3}{2}[/tex]
Calculate
[tex]-\frac{75}{4}[/tex]