Question: Let A be a 3x3 matrix such that

(a) \(\det \left( A \right)=-1\)

(b) \(\det \left( {{I}_{3}}-A \right)=3\)

where \({{I}_{3}}\) is the 3x3 identity matrix. Compute \(\det \left( {{A}^{22}}-{{A}^{23}} \right)\).